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Finding the Fourth Proportional to 13,712.57, 18,909.92 and 8,335.74

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Solution

The fourth proportional to 13,712.57, 18,909.92 and 8,335.74 is: 11,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.57 : 18,909.92 = 8,335.74 : x
  2. Step 2: Convert to fraction form
    13,712.57/18,909.92 = 8,335.74/x
  3. Step 3: Cross multiply
    13,712.57x = 18,909.92 × 8,335.74
  4. Step 4: Simplify right side
    13,712.57x = 157,628,073.57
  5. Step 5: Solve for x
    x = 157,628,073.57/13,712.57
  6. Step 6: Final answer
    x = 11,495.16

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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.