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Finding the Fourth Proportional to 22,563.94, 31,138.74 and 12,355.94

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Solution

The fourth proportional to 22,563.94, 31,138.74 and 12,355.94 is: 17,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.94 : 31,138.74 = 12,355.94 : x
  2. Step 2: Convert to fraction form
    22,563.94/31,138.74 = 12,355.94/x
  3. Step 3: Cross multiply
    22,563.94x = 31,138.74 × 12,355.94
  4. Step 4: Simplify right side
    22,563.94x = 384,748,403.12
  5. Step 5: Solve for x
    x = 384,748,403.12/22,563.94
  6. Step 6: Final answer
    x = 17,051.47

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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.