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Finding the Fourth Proportional to 16,175.40, 24,263.10 and 10,031.40

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Solution

The fourth proportional to 16,175.40, 24,263.10 and 10,031.40 is: 15,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.40 : 24,263.10 = 10,031.40 : x
  2. Step 2: Convert to fraction form
    16,175.40/24,263.10 = 10,031.40/x
  3. Step 3: Cross multiply
    16,175.40x = 24,263.10 × 10,031.40
  4. Step 4: Simplify right side
    16,175.40x = 243,392,861.34
  5. Step 5: Solve for x
    x = 243,392,861.34/16,175.40
  6. Step 6: Final answer
    x = 15,047.10

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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.