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Finding the Fourth Proportional to 12,752.70, 19,131.68 and 5,352.81

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Solution

The fourth proportional to 12,752.70, 19,131.68 and 5,352.81 is: 8,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.70 : 19,131.68 = 5,352.81 : x
  2. Step 2: Convert to fraction form
    12,752.70/19,131.68 = 5,352.81/x
  3. Step 3: Cross multiply
    12,752.70x = 19,131.68 × 5,352.81
  4. Step 4: Simplify right side
    12,752.70x = 102,408,248.02
  5. Step 5: Solve for x
    x = 102,408,248.02/12,752.70
  6. Step 6: Final answer
    x = 8,030.32

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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.