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Finding the Fourth Proportional to 25,340.96, 38,015.76 and 7,810.40

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Solution

The fourth proportional to 25,340.96, 38,015.76 and 7,810.40 is: 11,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,340.96 : 38,015.76 = 7,810.40 : x
  2. Step 2: Convert to fraction form
    25,340.96/38,015.76 = 7,810.40/x
  3. Step 3: Cross multiply
    25,340.96x = 38,015.76 × 7,810.40
  4. Step 4: Simplify right side
    25,340.96x = 296,918,291.90
  5. Step 5: Solve for x
    x = 296,918,291.90/25,340.96
  6. Step 6: Final answer
    x = 11,716.93

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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.