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Finding the Fourth Proportional to 21,620.47, 32,434.04 and 9,140.53

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Solution

The fourth proportional to 21,620.47, 32,434.04 and 9,140.53 is: 13,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620.47 : 32,434.04 = 9,140.53 : x
  2. Step 2: Convert to fraction form
    21,620.47/32,434.04 = 9,140.53/x
  3. Step 3: Cross multiply
    21,620.47x = 32,434.04 × 9,140.53
  4. Step 4: Simplify right side
    21,620.47x = 296,464,269.94
  5. Step 5: Solve for x
    x = 296,464,269.94/21,620.47
  6. Step 6: Final answer
    x = 13,712.21

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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.