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Finding the Fourth Proportional to 15,344.64, 23,011.74 and 5,983.92

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Solution

The fourth proportional to 15,344.64, 23,011.74 and 5,983.92 is: 8,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,344.64 : 23,011.74 = 5,983.92 : x
  2. Step 2: Convert to fraction form
    15,344.64/23,011.74 = 5,983.92/x
  3. Step 3: Cross multiply
    15,344.64x = 23,011.74 × 5,983.92
  4. Step 4: Simplify right side
    15,344.64x = 137,700,411.22
  5. Step 5: Solve for x
    x = 137,700,411.22/15,344.64
  6. Step 6: Final answer
    x = 8,973.84

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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.