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Finding the Fourth Proportional to 12,833.60, 19,253.10 and 4,069.40

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Solution

The fourth proportional to 12,833.60, 19,253.10 and 4,069.40 is: 6,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.60 : 19,253.10 = 4,069.40 : x
  2. Step 2: Convert to fraction form
    12,833.60/19,253.10 = 4,069.40/x
  3. Step 3: Cross multiply
    12,833.60x = 19,253.10 × 4,069.40
  4. Step 4: Simplify right side
    12,833.60x = 78,348,565.14
  5. Step 5: Solve for x
    x = 78,348,565.14/12,833.60
  6. Step 6: Final answer
    x = 6,104.96

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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.