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Finding the Fourth Proportional to 16,031.76, 24,023 and 13,571.40

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Solution

The fourth proportional to 16,031.76, 24,023 and 13,571.40 is: 20,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.76 : 24,023 = 13,571.40 : x
  2. Step 2: Convert to fraction form
    16,031.76/24,023 = 13,571.40/x
  3. Step 3: Cross multiply
    16,031.76x = 24,023 × 13,571.40
  4. Step 4: Simplify right side
    16,031.76x = 326,025,742.20
  5. Step 5: Solve for x
    x = 326,025,742.20/16,031.76
  6. Step 6: Final answer
    x = 20,336.24

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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.