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Finding the Fourth Proportional to 15,805.72, 21,808.20 and 9,432.64

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Solution

The fourth proportional to 15,805.72, 21,808.20 and 9,432.64 is: 13,014.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.72 : 21,808.20 = 9,432.64 : x
  2. Step 2: Convert to fraction form
    15,805.72/21,808.20 = 9,432.64/x
  3. Step 3: Cross multiply
    15,805.72x = 21,808.20 × 9,432.64
  4. Step 4: Simplify right side
    15,805.72x = 205,708,899.65
  5. Step 5: Solve for x
    x = 205,708,899.65/15,805.72
  6. Step 6: Final answer
    x = 13,014.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.