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Finding the Fourth Proportional to 12,752.19, 19,132.01 and 5,352.75

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Solution

The fourth proportional to 12,752.19, 19,132.01 and 5,352.75 is: 8,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.19 : 19,132.01 = 5,352.75 : x
  2. Step 2: Convert to fraction form
    12,752.19/19,132.01 = 5,352.75/x
  3. Step 3: Cross multiply
    12,752.19x = 19,132.01 × 5,352.75
  4. Step 4: Simplify right side
    12,752.19x = 102,408,839.76
  5. Step 5: Solve for x
    x = 102,408,839.76/12,752.19
  6. Step 6: Final answer
    x = 8,030.69

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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.