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Finding the Fourth Proportional to 25,833.60, 38,750.40 and 9,212.40

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Solution

The fourth proportional to 25,833.60, 38,750.40 and 9,212.40 is: 13,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.60 : 38,750.40 = 9,212.40 : x
  2. Step 2: Convert to fraction form
    25,833.60/38,750.40 = 9,212.40/x
  3. Step 3: Cross multiply
    25,833.60x = 38,750.40 × 9,212.40
  4. Step 4: Simplify right side
    25,833.60x = 356,984,184.96
  5. Step 5: Solve for x
    x = 356,984,184.96/25,833.60
  6. Step 6: Final answer
    x = 13,818.60

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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.