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Finding the Fourth Proportional to 13,570.47, 20,365.33 and 6,175.88

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Solution

The fourth proportional to 13,570.47, 20,365.33 and 6,175.88 is: 9,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.47 : 20,365.33 = 6,175.88 : x
  2. Step 2: Convert to fraction form
    13,570.47/20,365.33 = 6,175.88/x
  3. Step 3: Cross multiply
    13,570.47x = 20,365.33 × 6,175.88
  4. Step 4: Simplify right side
    13,570.47x = 125,773,869.71
  5. Step 5: Solve for x
    x = 125,773,869.71/13,570.47
  6. Step 6: Final answer
    x = 9,268.20

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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.