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Finding the Fourth Proportional to 15,047.28, 22,565.52 and 5,184

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Solution

The fourth proportional to 15,047.28, 22,565.52 and 5,184 is: 7,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,047.28 : 22,565.52 = 5,184 : x
  2. Step 2: Convert to fraction form
    15,047.28/22,565.52 = 5,184/x
  3. Step 3: Cross multiply
    15,047.28x = 22,565.52 × 5,184
  4. Step 4: Simplify right side
    15,047.28x = 116,979,655.68
  5. Step 5: Solve for x
    x = 116,979,655.68/15,047.28
  6. Step 6: Final answer
    x = 7,774.14

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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.