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Finding the Fourth Proportional to 17,652.93, 24,361 and 9,695.13

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Solution

The fourth proportional to 17,652.93, 24,361 and 9,695.13 is: 13,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.93 : 24,361 = 9,695.13 : x
  2. Step 2: Convert to fraction form
    17,652.93/24,361 = 9,695.13/x
  3. Step 3: Cross multiply
    17,652.93x = 24,361 × 9,695.13
  4. Step 4: Simplify right side
    17,652.93x = 236,183,061.93
  5. Step 5: Solve for x
    x = 236,183,061.93/17,652.93
  6. Step 6: Final answer
    x = 13,379.26

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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.