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Finding the Fourth Proportional to 17,464.80, 24,101.50 and 9,507.18

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Solution

The fourth proportional to 17,464.80, 24,101.50 and 9,507.18 is: 13,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.80 : 24,101.50 = 9,507.18 : x
  2. Step 2: Convert to fraction form
    17,464.80/24,101.50 = 9,507.18/x
  3. Step 3: Cross multiply
    17,464.80x = 24,101.50 × 9,507.18
  4. Step 4: Simplify right side
    17,464.80x = 229,137,298.77
  5. Step 5: Solve for x
    x = 229,137,298.77/17,464.80
  6. Step 6: Final answer
    x = 13,119.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.