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Finding the Fourth Proportional to 24,977.12, 34,468.03 and 13,646.38

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Solution

The fourth proportional to 24,977.12, 34,468.03 and 13,646.38 is: 18,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.12 : 34,468.03 = 13,646.38 : x
  2. Step 2: Convert to fraction form
    24,977.12/34,468.03 = 13,646.38/x
  3. Step 3: Cross multiply
    24,977.12x = 34,468.03 × 13,646.38
  4. Step 4: Simplify right side
    24,977.12x = 470,363,646.23
  5. Step 5: Solve for x
    x = 470,363,646.23/24,977.12
  6. Step 6: Final answer
    x = 18,831.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.