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Finding the Fourth Proportional to 25,833.96, 38,750.90 and 7,114.11

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Solution

The fourth proportional to 25,833.96, 38,750.90 and 7,114.11 is: 10,671.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.96 : 38,750.90 = 7,114.11 : x
  2. Step 2: Convert to fraction form
    25,833.96/38,750.90 = 7,114.11/x
  3. Step 3: Cross multiply
    25,833.96x = 38,750.90 × 7,114.11
  4. Step 4: Simplify right side
    25,833.96x = 275,678,129.63
  5. Step 5: Solve for x
    x = 275,678,129.63/25,833.96
  6. Step 6: Final answer
    x = 10,671.15

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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.