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Finding the Fourth Proportional to 17,643.61, 24,348.36 and 9,686.17

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Solution

The fourth proportional to 17,643.61, 24,348.36 and 9,686.17 is: 13,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.61 : 24,348.36 = 9,686.17 : x
  2. Step 2: Convert to fraction form
    17,643.61/24,348.36 = 9,686.17/x
  3. Step 3: Cross multiply
    17,643.61x = 24,348.36 × 9,686.17
  4. Step 4: Simplify right side
    17,643.61x = 235,842,354.18
  5. Step 5: Solve for x
    x = 235,842,354.18/17,643.61
  6. Step 6: Final answer
    x = 13,367.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.