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Finding the Fourth Proportional to 26,102.66, 39,154 and 6,381.20

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Solution

The fourth proportional to 26,102.66, 39,154 and 6,381.20 is: 9,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102.66 : 39,154 = 6,381.20 : x
  2. Step 2: Convert to fraction form
    26,102.66/39,154 = 6,381.20/x
  3. Step 3: Cross multiply
    26,102.66x = 39,154 × 6,381.20
  4. Step 4: Simplify right side
    26,102.66x = 249,849,504.80
  5. Step 5: Solve for x
    x = 249,849,504.80/26,102.66
  6. Step 6: Final answer
    x = 9,571.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.