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Finding the Fourth Proportional to 12,886.10, 19,324.11 and 4,562.90

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Solution

The fourth proportional to 12,886.10, 19,324.11 and 4,562.90 is: 6,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.10 : 19,324.11 = 4,562.90 : x
  2. Step 2: Convert to fraction form
    12,886.10/19,324.11 = 4,562.90/x
  3. Step 3: Cross multiply
    12,886.10x = 19,324.11 × 4,562.90
  4. Step 4: Simplify right side
    12,886.10x = 88,173,981.52
  5. Step 5: Solve for x
    x = 88,173,981.52/12,886.10
  6. Step 6: Final answer
    x = 6,842.57

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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.