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Finding the Fourth Proportional to 15,866.16, 23,805.72 and 9,625.92

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Solution

The fourth proportional to 15,866.16, 23,805.72 and 9,625.92 is: 14,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.16 : 23,805.72 = 9,625.92 : x
  2. Step 2: Convert to fraction form
    15,866.16/23,805.72 = 9,625.92/x
  3. Step 3: Cross multiply
    15,866.16x = 23,805.72 × 9,625.92
  4. Step 4: Simplify right side
    15,866.16x = 229,151,956.26
  5. Step 5: Solve for x
    x = 229,151,956.26/15,866.16
  6. Step 6: Final answer
    x = 14,442.81

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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.