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Finding the Fourth Proportional to 21,537.61, 32,306.41 and 9,842.63

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Solution

The fourth proportional to 21,537.61, 32,306.41 and 9,842.63 is: 14,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.61 : 32,306.41 = 9,842.63 : x
  2. Step 2: Convert to fraction form
    21,537.61/32,306.41 = 9,842.63/x
  3. Step 3: Cross multiply
    21,537.61x = 32,306.41 × 9,842.63
  4. Step 4: Simplify right side
    21,537.61x = 317,979,891.03
  5. Step 5: Solve for x
    x = 317,979,891.03/21,537.61
  6. Step 6: Final answer
    x = 14,763.94

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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.