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Finding the Fourth Proportional to 15,853.79, 21,878.19 and 9,139.39

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Solution

The fourth proportional to 15,853.79, 21,878.19 and 9,139.39 is: 12,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.79 : 21,878.19 = 9,139.39 : x
  2. Step 2: Convert to fraction form
    15,853.79/21,878.19 = 9,139.39/x
  3. Step 3: Cross multiply
    15,853.79x = 21,878.19 × 9,139.39
  4. Step 4: Simplify right side
    15,853.79x = 199,953,310.90
  5. Step 5: Solve for x
    x = 199,953,310.90/15,853.79
  6. Step 6: Final answer
    x = 12,612.34

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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.