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Finding the Fourth Proportional to 13,877.60, 19,149.72 and 7,909.12

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Solution

The fourth proportional to 13,877.60, 19,149.72 and 7,909.12 is: 10,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.60 : 19,149.72 = 7,909.12 : x
  2. Step 2: Convert to fraction form
    13,877.60/19,149.72 = 7,909.12/x
  3. Step 3: Cross multiply
    13,877.60x = 19,149.72 × 7,909.12
  4. Step 4: Simplify right side
    13,877.60x = 151,457,433.45
  5. Step 5: Solve for x
    x = 151,457,433.45/13,877.60
  6. Step 6: Final answer
    x = 10,913.81

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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.