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Finding the Fourth Proportional to 22,902.96, 31,603.96 and 12,966.96

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Solution

The fourth proportional to 22,902.96, 31,603.96 and 12,966.96 is: 17,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.96 : 31,603.96 = 12,966.96 : x
  2. Step 2: Convert to fraction form
    22,902.96/31,603.96 = 12,966.96/x
  3. Step 3: Cross multiply
    22,902.96x = 31,603.96 × 12,966.96
  4. Step 4: Simplify right side
    22,902.96x = 409,807,285.16
  5. Step 5: Solve for x
    x = 409,807,285.16/22,902.96
  6. Step 6: Final answer
    x = 17,893.20

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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.