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Finding the Fourth Proportional to 12,833.60, 19,250.40 and 9,377.60

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Solution

The fourth proportional to 12,833.60, 19,250.40 and 9,377.60 is: 14,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.60 : 19,250.40 = 9,377.60 : x
  2. Step 2: Convert to fraction form
    12,833.60/19,250.40 = 9,377.60/x
  3. Step 3: Cross multiply
    12,833.60x = 19,250.40 × 9,377.60
  4. Step 4: Simplify right side
    12,833.60x = 180,522,551.04
  5. Step 5: Solve for x
    x = 180,522,551.04/12,833.60
  6. Step 6: Final answer
    x = 14,066.40

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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.