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Finding the Fourth Proportional to 17,542.62, 24,208.86 and 9,585

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Solution

The fourth proportional to 17,542.62, 24,208.86 and 9,585 is: 13,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542.62 : 24,208.86 = 9,585 : x
  2. Step 2: Convert to fraction form
    17,542.62/24,208.86 = 9,585/x
  3. Step 3: Cross multiply
    17,542.62x = 24,208.86 × 9,585
  4. Step 4: Simplify right side
    17,542.62x = 232,041,923.10
  5. Step 5: Solve for x
    x = 232,041,923.10/17,542.62
  6. Step 6: Final answer
    x = 13,227.32

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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.