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Finding the Fourth Proportional to 15,580.32, 23,373.72 and 5,719.20

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Solution

The fourth proportional to 15,580.32, 23,373.72 and 5,719.20 is: 8,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.32 : 23,373.72 = 5,719.20 : x
  2. Step 2: Convert to fraction form
    15,580.32/23,373.72 = 5,719.20/x
  3. Step 3: Cross multiply
    15,580.32x = 23,373.72 × 5,719.20
  4. Step 4: Simplify right side
    15,580.32x = 133,678,979.42
  5. Step 5: Solve for x
    x = 133,678,979.42/15,580.32
  6. Step 6: Final answer
    x = 8,579.99

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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.