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Finding the Fourth Proportional to 22,656.17, 31,259.04 and 13,697.17

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Solution

The fourth proportional to 22,656.17, 31,259.04 and 13,697.17 is: 18,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.17 : 31,259.04 = 13,697.17 : x
  2. Step 2: Convert to fraction form
    22,656.17/31,259.04 = 13,697.17/x
  3. Step 3: Cross multiply
    22,656.17x = 31,259.04 × 13,697.17
  4. Step 4: Simplify right side
    22,656.17x = 428,160,384.92
  5. Step 5: Solve for x
    x = 428,160,384.92/22,656.17
  6. Step 6: Final answer
    x = 18,898.18

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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.