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Finding the Fourth Proportional to 20,502.95, 30,642.08 and 14,967.95

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Solution

The fourth proportional to 20,502.95, 30,642.08 and 14,967.95 is: 22,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.95 : 30,642.08 = 14,967.95 : x
  2. Step 2: Convert to fraction form
    20,502.95/30,642.08 = 14,967.95/x
  3. Step 3: Cross multiply
    20,502.95x = 30,642.08 × 14,967.95
  4. Step 4: Simplify right side
    20,502.95x = 458,649,005.55
  5. Step 5: Solve for x
    x = 458,649,005.55/20,502.95
  6. Step 6: Final answer
    x = 22,369.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.