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Finding the Fourth Proportional to 17,577.41, 24,256.77 and 9,920.17

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Solution

The fourth proportional to 17,577.41, 24,256.77 and 9,920.17 is: 13,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.41 : 24,256.77 = 9,920.17 : x
  2. Step 2: Convert to fraction form
    17,577.41/24,256.77 = 9,920.17/x
  3. Step 3: Cross multiply
    17,577.41x = 24,256.77 × 9,920.17
  4. Step 4: Simplify right side
    17,577.41x = 240,631,275.17
  5. Step 5: Solve for x
    x = 240,631,275.17/17,577.41
  6. Step 6: Final answer
    x = 13,689.81

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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.