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Finding the Fourth Proportional to 16,031.68, 24,045.09 and 5,641

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Solution

The fourth proportional to 16,031.68, 24,045.09 and 5,641 is: 8,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.68 : 24,045.09 = 5,641 : x
  2. Step 2: Convert to fraction form
    16,031.68/24,045.09 = 5,641/x
  3. Step 3: Cross multiply
    16,031.68x = 24,045.09 × 5,641
  4. Step 4: Simplify right side
    16,031.68x = 135,638,352.69
  5. Step 5: Solve for x
    x = 135,638,352.69/16,031.68
  6. Step 6: Final answer
    x = 8,460.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.