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Finding the Fourth Proportional to 17,646.31, 24,353.41 and 9,690.08

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Solution

The fourth proportional to 17,646.31, 24,353.41 and 9,690.08 is: 13,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.31 : 24,353.41 = 9,690.08 : x
  2. Step 2: Convert to fraction form
    17,646.31/24,353.41 = 9,690.08/x
  3. Step 3: Cross multiply
    17,646.31x = 24,353.41 × 9,690.08
  4. Step 4: Simplify right side
    17,646.31x = 235,986,500.34
  5. Step 5: Solve for x
    x = 235,986,500.34/17,646.31
  6. Step 6: Final answer
    x = 13,373.14

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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.