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Finding the Fourth Proportional to 13,148.40, 19,679.40 and 10,210.80

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Solution

The fourth proportional to 13,148.40, 19,679.40 and 10,210.80 is: 15,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.40 : 19,679.40 = 10,210.80 : x
  2. Step 2: Convert to fraction form
    13,148.40/19,679.40 = 10,210.80/x
  3. Step 3: Cross multiply
    13,148.40x = 19,679.40 × 10,210.80
  4. Step 4: Simplify right side
    13,148.40x = 200,942,417.52
  5. Step 5: Solve for x
    x = 200,942,417.52/13,148.40
  6. Step 6: Final answer
    x = 15,282.65

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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.