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Finding the Fourth Proportional to 17,461.68, 24,097.10 and 9,503.88

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Solution

The fourth proportional to 17,461.68, 24,097.10 and 9,503.88 is: 13,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.68 : 24,097.10 = 9,503.88 : x
  2. Step 2: Convert to fraction form
    17,461.68/24,097.10 = 9,503.88/x
  3. Step 3: Cross multiply
    17,461.68x = 24,097.10 × 9,503.88
  4. Step 4: Simplify right side
    17,461.68x = 229,015,944.41
  5. Step 5: Solve for x
    x = 229,015,944.41/17,461.68
  6. Step 6: Final answer
    x = 13,115.35

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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.