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Finding the Fourth Proportional to 17,442.68, 24,071 and 9,484.88

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Solution

The fourth proportional to 17,442.68, 24,071 and 9,484.88 is: 13,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.68 : 24,071 = 9,484.88 : x
  2. Step 2: Convert to fraction form
    17,442.68/24,071 = 9,484.88/x
  3. Step 3: Cross multiply
    17,442.68x = 24,071 × 9,484.88
  4. Step 4: Simplify right side
    17,442.68x = 228,310,546.48
  5. Step 5: Solve for x
    x = 228,310,546.48/17,442.68
  6. Step 6: Final answer
    x = 13,089.19

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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.