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Finding the Fourth Proportional to 17,643.28, 24,348 and 9,685.40

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Solution

The fourth proportional to 17,643.28, 24,348 and 9,685.40 is: 13,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.28 : 24,348 = 9,685.40 : x
  2. Step 2: Convert to fraction form
    17,643.28/24,348 = 9,685.40/x
  3. Step 3: Cross multiply
    17,643.28x = 24,348 × 9,685.40
  4. Step 4: Simplify right side
    17,643.28x = 235,820,119.20
  5. Step 5: Solve for x
    x = 235,820,119.20/17,643.28
  6. Step 6: Final answer
    x = 13,366.00

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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.