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Finding the Fourth Proportional to 17,643.17, 24,348.14 and 10,088.90

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Solution

The fourth proportional to 17,643.17, 24,348.14 and 10,088.90 is: 13,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.17 : 24,348.14 = 10,088.90 : x
  2. Step 2: Convert to fraction form
    17,643.17/24,348.14 = 10,088.90/x
  3. Step 3: Cross multiply
    17,643.17x = 24,348.14 × 10,088.90
  4. Step 4: Simplify right side
    17,643.17x = 245,646,100.31
  5. Step 5: Solve for x
    x = 245,646,100.31/17,643.17
  6. Step 6: Final answer
    x = 13,923.02

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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.