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Finding the Fourth Proportional to 17,292.59, 23,862.68 and 9,738.47

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Solution

The fourth proportional to 17,292.59, 23,862.68 and 9,738.47 is: 13,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,292.59 : 23,862.68 = 9,738.47 : x
  2. Step 2: Convert to fraction form
    17,292.59/23,862.68 = 9,738.47/x
  3. Step 3: Cross multiply
    17,292.59x = 23,862.68 × 9,738.47
  4. Step 4: Simplify right side
    17,292.59x = 232,386,004.26
  5. Step 5: Solve for x
    x = 232,386,004.26/17,292.59
  6. Step 6: Final answer
    x = 13,438.48

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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.