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Finding the Fourth Proportional to 17,711.58, 24,442.05 and 9,753.80

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Solution

The fourth proportional to 17,711.58, 24,442.05 and 9,753.80 is: 13,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.58 : 24,442.05 = 9,753.80 : x
  2. Step 2: Convert to fraction form
    17,711.58/24,442.05 = 9,753.80/x
  3. Step 3: Cross multiply
    17,711.58x = 24,442.05 × 9,753.80
  4. Step 4: Simplify right side
    17,711.58x = 238,402,745.08
  5. Step 5: Solve for x
    x = 238,402,745.08/17,711.58
  6. Step 6: Final answer
    x = 13,460.28

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1.5x scale

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.