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Finding the Fourth Proportional to 21,701.60, 32,526.80 and 16,223.20

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Solution

The fourth proportional to 21,701.60, 32,526.80 and 16,223.20 is: 24,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.60 : 32,526.80 = 16,223.20 : x
  2. Step 2: Convert to fraction form
    21,701.60/32,526.80 = 16,223.20/x
  3. Step 3: Cross multiply
    21,701.60x = 32,526.80 × 16,223.20
  4. Step 4: Simplify right side
    21,701.60x = 527,688,781.76
  5. Step 5: Solve for x
    x = 527,688,781.76/21,701.60
  6. Step 6: Final answer
    x = 24,315.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.