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Finding the Fourth Proportional to 17,713.88, 24,445.15 and 9,756.10

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Solution

The fourth proportional to 17,713.88, 24,445.15 and 9,756.10 is: 13,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.88 : 24,445.15 = 9,756.10 : x
  2. Step 2: Convert to fraction form
    17,713.88/24,445.15 = 9,756.10/x
  3. Step 3: Cross multiply
    17,713.88x = 24,445.15 × 9,756.10
  4. Step 4: Simplify right side
    17,713.88x = 238,489,242.41
  5. Step 5: Solve for x
    x = 238,489,242.41/17,713.88
  6. Step 6: Final answer
    x = 13,463.41

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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.