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Finding the Fourth Proportional to 21,657.68, 29,871.80 and 16,564.70

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Solution

The fourth proportional to 21,657.68, 29,871.80 and 16,564.70 is: 22,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.68 : 29,871.80 = 16,564.70 : x
  2. Step 2: Convert to fraction form
    21,657.68/29,871.80 = 16,564.70/x
  3. Step 3: Cross multiply
    21,657.68x = 29,871.80 × 16,564.70
  4. Step 4: Simplify right side
    21,657.68x = 494,817,405.46
  5. Step 5: Solve for x
    x = 494,817,405.46/21,657.68
  6. Step 6: Final answer
    x = 22,847.20

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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.