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Finding the Fourth Proportional to 15,807.66, 23,709 and 5,277.87

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Solution

The fourth proportional to 15,807.66, 23,709 and 5,277.87 is: 7,915.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.66 : 23,709 = 5,277.87 : x
  2. Step 2: Convert to fraction form
    15,807.66/23,709 = 5,277.87/x
  3. Step 3: Cross multiply
    15,807.66x = 23,709 × 5,277.87
  4. Step 4: Simplify right side
    15,807.66x = 125,133,019.83
  5. Step 5: Solve for x
    x = 125,133,019.83/15,807.66
  6. Step 6: Final answer
    x = 7,915.97

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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.