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Finding the Fourth Proportional to 16,407.12, 22,641.40 and 10,031.60

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Solution

The fourth proportional to 16,407.12, 22,641.40 and 10,031.60 is: 13,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.12 : 22,641.40 = 10,031.60 : x
  2. Step 2: Convert to fraction form
    16,407.12/22,641.40 = 10,031.60/x
  3. Step 3: Cross multiply
    16,407.12x = 22,641.40 × 10,031.60
  4. Step 4: Simplify right side
    16,407.12x = 227,129,468.24
  5. Step 5: Solve for x
    x = 227,129,468.24/16,407.12
  6. Step 6: Final answer
    x = 13,843.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.