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Finding the Fourth Proportional to 17,712.58, 24,442.50 and 9,754.60

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Solution

The fourth proportional to 17,712.58, 24,442.50 and 9,754.60 is: 13,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.58 : 24,442.50 = 9,754.60 : x
  2. Step 2: Convert to fraction form
    17,712.58/24,442.50 = 9,754.60/x
  3. Step 3: Cross multiply
    17,712.58x = 24,442.50 × 9,754.60
  4. Step 4: Simplify right side
    17,712.58x = 238,426,810.50
  5. Step 5: Solve for x
    x = 238,426,810.50/17,712.58
  6. Step 6: Final answer
    x = 13,460.87

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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.