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Finding the Fourth Proportional to 15,854.32, 21,878.91 and 8,780.74

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Solution

The fourth proportional to 15,854.32, 21,878.91 and 8,780.74 is: 12,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.32 : 21,878.91 = 8,780.74 : x
  2. Step 2: Convert to fraction form
    15,854.32/21,878.91 = 8,780.74/x
  3. Step 3: Cross multiply
    15,854.32x = 21,878.91 × 8,780.74
  4. Step 4: Simplify right side
    15,854.32x = 192,112,965.50
  5. Step 5: Solve for x
    x = 192,112,965.50/15,854.32
  6. Step 6: Final answer
    x = 12,117.39

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Why These Related Problems?

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