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Finding the Fourth Proportional to 15,888.27, 23,832.65 and 7,569.15

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Solution

The fourth proportional to 15,888.27, 23,832.65 and 7,569.15 is: 11,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.27 : 23,832.65 = 7,569.15 : x
  2. Step 2: Convert to fraction form
    15,888.27/23,832.65 = 7,569.15/x
  3. Step 3: Cross multiply
    15,888.27x = 23,832.65 × 7,569.15
  4. Step 4: Simplify right side
    15,888.27x = 180,392,864.90
  5. Step 5: Solve for x
    x = 180,392,864.90/15,888.27
  6. Step 6: Final answer
    x = 11,353.84

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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.