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Finding the Fourth Proportional to 13,432.90, 20,154.86 and 7,106.13

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Solution

The fourth proportional to 13,432.90, 20,154.86 and 7,106.13 is: 10,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.90 : 20,154.86 = 7,106.13 : x
  2. Step 2: Convert to fraction form
    13,432.90/20,154.86 = 7,106.13/x
  3. Step 3: Cross multiply
    13,432.90x = 20,154.86 × 7,106.13
  4. Step 4: Simplify right side
    13,432.90x = 143,223,004.90
  5. Step 5: Solve for x
    x = 143,223,004.90/13,432.90
  6. Step 6: Final answer
    x = 10,662.11

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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.