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Finding the Fourth Proportional to 14,972.78, 22,459.14 and 4,028.78

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Solution

The fourth proportional to 14,972.78, 22,459.14 and 4,028.78 is: 6,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.78 : 22,459.14 = 4,028.78 : x
  2. Step 2: Convert to fraction form
    14,972.78/22,459.14 = 4,028.78/x
  3. Step 3: Cross multiply
    14,972.78x = 22,459.14 × 4,028.78
  4. Step 4: Simplify right side
    14,972.78x = 90,482,934.05
  5. Step 5: Solve for x
    x = 90,482,934.05/14,972.78
  6. Step 6: Final answer
    x = 6,043.16

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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.