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Finding the Fourth Proportional to 13,909.74, 20,740.53 and 12,364.26

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Solution

The fourth proportional to 13,909.74, 20,740.53 and 12,364.26 is: 18,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.74 : 20,740.53 = 12,364.26 : x
  2. Step 2: Convert to fraction form
    13,909.74/20,740.53 = 12,364.26/x
  3. Step 3: Cross multiply
    13,909.74x = 20,740.53 × 12,364.26
  4. Step 4: Simplify right side
    13,909.74x = 256,441,305.46
  5. Step 5: Solve for x
    x = 256,441,305.46/13,909.74
  6. Step 6: Final answer
    x = 18,436.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.