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Finding the Fourth Proportional to 16,587.98, 24,882 and 4,909.40

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Solution

The fourth proportional to 16,587.98, 24,882 and 4,909.40 is: 7,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,587.98 : 24,882 = 4,909.40 : x
  2. Step 2: Convert to fraction form
    16,587.98/24,882 = 4,909.40/x
  3. Step 3: Cross multiply
    16,587.98x = 24,882 × 4,909.40
  4. Step 4: Simplify right side
    16,587.98x = 122,155,690.80
  5. Step 5: Solve for x
    x = 122,155,690.80/16,587.98
  6. Step 6: Final answer
    x = 7,364.11

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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.