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Finding the Fourth Proportional to 15,836.52, 21,853.38 and 8,762.76

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Solution

The fourth proportional to 15,836.52, 21,853.38 and 8,762.76 is: 12,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.52 : 21,853.38 = 8,762.76 : x
  2. Step 2: Convert to fraction form
    15,836.52/21,853.38 = 8,762.76/x
  3. Step 3: Cross multiply
    15,836.52x = 21,853.38 × 8,762.76
  4. Step 4: Simplify right side
    15,836.52x = 191,495,924.13
  5. Step 5: Solve for x
    x = 191,495,924.13/15,836.52
  6. Step 6: Final answer
    x = 12,092.05

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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.