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Finding the Fourth Proportional to 14,694, 22,041.12 and 5,460

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Solution

The fourth proportional to 14,694, 22,041.12 and 5,460 is: 8,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694 : 22,041.12 = 5,460 : x
  2. Step 2: Convert to fraction form
    14,694/22,041.12 = 5,460/x
  3. Step 3: Cross multiply
    14,694x = 22,041.12 × 5,460
  4. Step 4: Simplify right side
    14,694x = 120,344,515.20
  5. Step 5: Solve for x
    x = 120,344,515.20/14,694
  6. Step 6: Final answer
    x = 8,190.04

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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.