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Finding the Fourth Proportional to 15,387.43, 23,080 and 4,857.81

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Solution

The fourth proportional to 15,387.43, 23,080 and 4,857.81 is: 7,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,387.43 : 23,080 = 4,857.81 : x
  2. Step 2: Convert to fraction form
    15,387.43/23,080 = 4,857.81/x
  3. Step 3: Cross multiply
    15,387.43x = 23,080 × 4,857.81
  4. Step 4: Simplify right side
    15,387.43x = 112,118,254.80
  5. Step 5: Solve for x
    x = 112,118,254.80/15,387.43
  6. Step 6: Final answer
    x = 7,286.35

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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.