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Finding the Fourth Proportional to 12,881.25, 19,319.13 and 10,429.99

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Solution

The fourth proportional to 12,881.25, 19,319.13 and 10,429.99 is: 15,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.25 : 19,319.13 = 10,429.99 : x
  2. Step 2: Convert to fraction form
    12,881.25/19,319.13 = 10,429.99/x
  3. Step 3: Cross multiply
    12,881.25x = 19,319.13 × 10,429.99
  4. Step 4: Simplify right side
    12,881.25x = 201,498,284.41
  5. Step 5: Solve for x
    x = 201,498,284.41/12,881.25
  6. Step 6: Final answer
    x = 15,642.76

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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.