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Finding the Fourth Proportional to 13,386.60, 20,079.90 and 7,165.80

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Solution

The fourth proportional to 13,386.60, 20,079.90 and 7,165.80 is: 10,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.60 : 20,079.90 = 7,165.80 : x
  2. Step 2: Convert to fraction form
    13,386.60/20,079.90 = 7,165.80/x
  3. Step 3: Cross multiply
    13,386.60x = 20,079.90 × 7,165.80
  4. Step 4: Simplify right side
    13,386.60x = 143,888,547.42
  5. Step 5: Solve for x
    x = 143,888,547.42/13,386.60
  6. Step 6: Final answer
    x = 10,748.70

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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.