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Finding the Fourth Proportional to 21,538.04, 32,298.59 and 9,064.04

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Solution

The fourth proportional to 21,538.04, 32,298.59 and 9,064.04 is: 13,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.04 : 32,298.59 = 9,064.04 : x
  2. Step 2: Convert to fraction form
    21,538.04/32,298.59 = 9,064.04/x
  3. Step 3: Cross multiply
    21,538.04x = 32,298.59 × 9,064.04
  4. Step 4: Simplify right side
    21,538.04x = 292,755,572.87
  5. Step 5: Solve for x
    x = 292,755,572.87/21,538.04
  6. Step 6: Final answer
    x = 13,592.49

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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.