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Finding the Fourth Proportional to 18,974.60, 28,465.20 and 7,875.20

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Solution

The fourth proportional to 18,974.60, 28,465.20 and 7,875.20 is: 11,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974.60 : 28,465.20 = 7,875.20 : x
  2. Step 2: Convert to fraction form
    18,974.60/28,465.20 = 7,875.20/x
  3. Step 3: Cross multiply
    18,974.60x = 28,465.20 × 7,875.20
  4. Step 4: Simplify right side
    18,974.60x = 224,169,143.04
  5. Step 5: Solve for x
    x = 224,169,143.04/18,974.60
  6. Step 6: Final answer
    x = 11,814.17

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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.