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Finding the Fourth Proportional to 13,290.40, 19,948.64 and 10,141.12

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Solution

The fourth proportional to 13,290.40, 19,948.64 and 10,141.12 is: 15,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290.40 : 19,948.64 = 10,141.12 : x
  2. Step 2: Convert to fraction form
    13,290.40/19,948.64 = 10,141.12/x
  3. Step 3: Cross multiply
    13,290.40x = 19,948.64 × 10,141.12
  4. Step 4: Simplify right side
    13,290.40x = 202,301,552.08
  5. Step 5: Solve for x
    x = 202,301,552.08/13,290.40
  6. Step 6: Final answer
    x = 15,221.63

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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.