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Finding the Fourth Proportional to 17,641.42, 24,345.11 and 9,683.50

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Solution

The fourth proportional to 17,641.42, 24,345.11 and 9,683.50 is: 13,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.42 : 24,345.11 = 9,683.50 : x
  2. Step 2: Convert to fraction form
    17,641.42/24,345.11 = 9,683.50/x
  3. Step 3: Cross multiply
    17,641.42x = 24,345.11 × 9,683.50
  4. Step 4: Simplify right side
    17,641.42x = 235,745,872.69
  5. Step 5: Solve for x
    x = 235,745,872.69/17,641.42
  6. Step 6: Final answer
    x = 13,363.20

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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.