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Finding the Fourth Proportional to 14,959, 22,435.62 and 5,098.20

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Solution

The fourth proportional to 14,959, 22,435.62 and 5,098.20 is: 7,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,959 : 22,435.62 = 5,098.20 : x
  2. Step 2: Convert to fraction form
    14,959/22,435.62 = 5,098.20/x
  3. Step 3: Cross multiply
    14,959x = 22,435.62 × 5,098.20
  4. Step 4: Simplify right side
    14,959x = 114,381,277.88
  5. Step 5: Solve for x
    x = 114,381,277.88/14,959
  6. Step 6: Final answer
    x = 7,646.32

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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.