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Finding the Fourth Proportional to 13,438.60, 20,114.70 and 7,182.94

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Solution

The fourth proportional to 13,438.60, 20,114.70 and 7,182.94 is: 10,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.60 : 20,114.70 = 7,182.94 : x
  2. Step 2: Convert to fraction form
    13,438.60/20,114.70 = 7,182.94/x
  3. Step 3: Cross multiply
    13,438.60x = 20,114.70 × 7,182.94
  4. Step 4: Simplify right side
    13,438.60x = 144,482,683.22
  5. Step 5: Solve for x
    x = 144,482,683.22/13,438.60
  6. Step 6: Final answer
    x = 10,751.32

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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.