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Finding the Fourth Proportional to 22,657.71, 31,279.00 and 14,164.55

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Solution

The fourth proportional to 22,657.71, 31,279.00 and 14,164.55 is: 19,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.71 : 31,279.00 = 14,164.55 : x
  2. Step 2: Convert to fraction form
    22,657.71/31,279.00 = 14,164.55/x
  3. Step 3: Cross multiply
    22,657.71x = 31,279.00 × 14,164.55
  4. Step 4: Simplify right side
    22,657.71x = 443,052,924.04
  5. Step 5: Solve for x
    x = 443,052,924.04/22,657.71
  6. Step 6: Final answer
    x = 19,554.18

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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.