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Finding the Fourth Proportional to 22,612.47, 31,207.13 and 12,544.16

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Solution

The fourth proportional to 22,612.47, 31,207.13 and 12,544.16 is: 17,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.47 : 31,207.13 = 12,544.16 : x
  2. Step 2: Convert to fraction form
    22,612.47/31,207.13 = 12,544.16/x
  3. Step 3: Cross multiply
    22,612.47x = 31,207.13 × 12,544.16
  4. Step 4: Simplify right side
    22,612.47x = 391,467,024.86
  5. Step 5: Solve for x
    x = 391,467,024.86/22,612.47
  6. Step 6: Final answer
    x = 17,312.00

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