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Finding the Fourth Proportional to 22,615.53, 31,213.17 and 12,547.22

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Solution

The fourth proportional to 22,615.53, 31,213.17 and 12,547.22 is: 17,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,615.53 : 31,213.17 = 12,547.22 : x
  2. Step 2: Convert to fraction form
    22,615.53/31,213.17 = 12,547.22/x
  3. Step 3: Cross multiply
    22,615.53x = 31,213.17 × 12,547.22
  4. Step 4: Simplify right side
    22,615.53x = 391,638,434.00
  5. Step 5: Solve for x
    x = 391,638,434.00/22,615.53
  6. Step 6: Final answer
    x = 17,317.23

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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.