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Finding the Fourth Proportional to 22,901.25, 31,603.73 and 12,965.25

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Solution

The fourth proportional to 22,901.25, 31,603.73 and 12,965.25 is: 17,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.25 : 31,603.73 = 12,965.25 : x
  2. Step 2: Convert to fraction form
    22,901.25/31,603.73 = 12,965.25/x
  3. Step 3: Cross multiply
    22,901.25x = 31,603.73 × 12,965.25
  4. Step 4: Simplify right side
    22,901.25x = 409,750,195.56
  5. Step 5: Solve for x
    x = 409,750,195.56/22,901.25
  6. Step 6: Final answer
    x = 17,892.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.