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Finding the Fourth Proportional to 13,422.90, 20,127.84 and 4,061.16

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Solution

The fourth proportional to 13,422.90, 20,127.84 and 4,061.16 is: 6,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.90 : 20,127.84 = 4,061.16 : x
  2. Step 2: Convert to fraction form
    13,422.90/20,127.84 = 4,061.16/x
  3. Step 3: Cross multiply
    13,422.90x = 20,127.84 × 4,061.16
  4. Step 4: Simplify right side
    13,422.90x = 81,742,378.69
  5. Step 5: Solve for x
    x = 81,742,378.69/13,422.90
  6. Step 6: Final answer
    x = 6,089.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.