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Finding the Fourth Proportional to 13,877.10, 19,150.41 and 7,909.02

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Solution

The fourth proportional to 13,877.10, 19,150.41 and 7,909.02 is: 10,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.10 : 19,150.41 = 7,909.02 : x
  2. Step 2: Convert to fraction form
    13,877.10/19,150.41 = 7,909.02/x
  3. Step 3: Cross multiply
    13,877.10x = 19,150.41 × 7,909.02
  4. Step 4: Simplify right side
    13,877.10x = 151,460,975.70
  5. Step 5: Solve for x
    x = 151,460,975.70/13,877.10
  6. Step 6: Final answer
    x = 10,914.45

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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.