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Finding the Fourth Proportional to 13,877.44, 19,148.16 and 8,290.24

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Solution

The fourth proportional to 13,877.44, 19,148.16 and 8,290.24 is: 11,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.44 : 19,148.16 = 8,290.24 : x
  2. Step 2: Convert to fraction form
    13,877.44/19,148.16 = 8,290.24/x
  3. Step 3: Cross multiply
    13,877.44x = 19,148.16 × 8,290.24
  4. Step 4: Simplify right side
    13,877.44x = 158,742,841.96
  5. Step 5: Solve for x
    x = 158,742,841.96/13,877.44
  6. Step 6: Final answer
    x = 11,438.91

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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.