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Finding the Fourth Proportional to 24,097.80, 36,128.70 and 12,419.40

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Solution

The fourth proportional to 24,097.80, 36,128.70 and 12,419.40 is: 18,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.80 : 36,128.70 = 12,419.40 : x
  2. Step 2: Convert to fraction form
    24,097.80/36,128.70 = 12,419.40/x
  3. Step 3: Cross multiply
    24,097.80x = 36,128.70 × 12,419.40
  4. Step 4: Simplify right side
    24,097.80x = 448,696,776.78
  5. Step 5: Solve for x
    x = 448,696,776.78/24,097.80
  6. Step 6: Final answer
    x = 18,619.82

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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.