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Finding the Fourth Proportional to 12,358.50, 18,522.20 and 8,830.14

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Solution

The fourth proportional to 12,358.50, 18,522.20 and 8,830.14 is: 13,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.50 : 18,522.20 = 8,830.14 : x
  2. Step 2: Convert to fraction form
    12,358.50/18,522.20 = 8,830.14/x
  3. Step 3: Cross multiply
    12,358.50x = 18,522.20 × 8,830.14
  4. Step 4: Simplify right side
    12,358.50x = 163,553,619.11
  5. Step 5: Solve for x
    x = 163,553,619.11/12,358.50
  6. Step 6: Final answer
    x = 13,234.10

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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.