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Finding the Fourth Proportional to 26,123.16, 39,184.78 and 6,401.76

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Solution

The fourth proportional to 26,123.16, 39,184.78 and 6,401.76 is: 9,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,123.16 : 39,184.78 = 6,401.76 : x
  2. Step 2: Convert to fraction form
    26,123.16/39,184.78 = 6,401.76/x
  3. Step 3: Cross multiply
    26,123.16x = 39,184.78 × 6,401.76
  4. Step 4: Simplify right side
    26,123.16x = 250,851,557.21
  5. Step 5: Solve for x
    x = 250,851,557.21/26,123.16
  6. Step 6: Final answer
    x = 9,602.65

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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.