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Finding the Fourth Proportional to 15,875.80, 21,909.18 and 9,162.32

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Solution

The fourth proportional to 15,875.80, 21,909.18 and 9,162.32 is: 12,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.80 : 21,909.18 = 9,162.32 : x
  2. Step 2: Convert to fraction form
    15,875.80/21,909.18 = 9,162.32/x
  3. Step 3: Cross multiply
    15,875.80x = 21,909.18 × 9,162.32
  4. Step 4: Simplify right side
    15,875.80x = 200,738,842.91
  5. Step 5: Solve for x
    x = 200,738,842.91/15,875.80
  6. Step 6: Final answer
    x = 12,644.33

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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.