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Finding the Fourth Proportional to 26,820.30, 40,248 and 10,180.74

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Solution

The fourth proportional to 26,820.30, 40,248 and 10,180.74 is: 15,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,820.30 : 40,248 = 10,180.74 : x
  2. Step 2: Convert to fraction form
    26,820.30/40,248 = 10,180.74/x
  3. Step 3: Cross multiply
    26,820.30x = 40,248 × 10,180.74
  4. Step 4: Simplify right side
    26,820.30x = 409,754,423.52
  5. Step 5: Solve for x
    x = 409,754,423.52/26,820.30
  6. Step 6: Final answer
    x = 15,277.77

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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.