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Finding the Fourth Proportional to 15,807.84, 23,711.49 and 4,714.56

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Solution

The fourth proportional to 15,807.84, 23,711.49 and 4,714.56 is: 7,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.84 : 23,711.49 = 4,714.56 : x
  2. Step 2: Convert to fraction form
    15,807.84/23,711.49 = 4,714.56/x
  3. Step 3: Cross multiply
    15,807.84x = 23,711.49 × 4,714.56
  4. Step 4: Simplify right side
    15,807.84x = 111,789,242.29
  5. Step 5: Solve for x
    x = 111,789,242.29/15,807.84
  6. Step 6: Final answer
    x = 7,071.76

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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.