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Finding the Fourth Proportional to 25,340, 38,015.06 and 7,809.08

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Solution

The fourth proportional to 25,340, 38,015.06 and 7,809.08 is: 11,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,340 : 38,015.06 = 7,809.08 : x
  2. Step 2: Convert to fraction form
    25,340/38,015.06 = 7,809.08/x
  3. Step 3: Cross multiply
    25,340x = 38,015.06 × 7,809.08
  4. Step 4: Simplify right side
    25,340x = 296,862,644.74
  5. Step 5: Solve for x
    x = 296,862,644.74/25,340
  6. Step 6: Final answer
    x = 11,715.18

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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.