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Finding the Fourth Proportional to 15,888.14, 23,816.71 and 7,565.92

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Solution

The fourth proportional to 15,888.14, 23,816.71 and 7,565.92 is: 11,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.14 : 23,816.71 = 7,565.92 : x
  2. Step 2: Convert to fraction form
    15,888.14/23,816.71 = 7,565.92/x
  3. Step 3: Cross multiply
    15,888.14x = 23,816.71 × 7,565.92
  4. Step 4: Simplify right side
    15,888.14x = 180,195,322.52
  5. Step 5: Solve for x
    x = 180,195,322.52/15,888.14
  6. Step 6: Final answer
    x = 11,341.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.