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Finding the Fourth Proportional to 10,032.46, 15,064.23 and 9,588.82

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Solution

The fourth proportional to 10,032.46, 15,064.23 and 9,588.82 is: 14,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.46 : 15,064.23 = 9,588.82 : x
  2. Step 2: Convert to fraction form
    10,032.46/15,064.23 = 9,588.82/x
  3. Step 3: Cross multiply
    10,032.46x = 15,064.23 × 9,588.82
  4. Step 4: Simplify right side
    10,032.46x = 144,448,189.91
  5. Step 5: Solve for x
    x = 144,448,189.91/10,032.46
  6. Step 6: Final answer
    x = 14,398.08

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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.