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Finding the Fourth Proportional to 12,210.20, 18,312.90 and 4,002.20

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Solution

The fourth proportional to 12,210.20, 18,312.90 and 4,002.20 is: 6,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.20 : 18,312.90 = 4,002.20 : x
  2. Step 2: Convert to fraction form
    12,210.20/18,312.90 = 4,002.20/x
  3. Step 3: Cross multiply
    12,210.20x = 18,312.90 × 4,002.20
  4. Step 4: Simplify right side
    12,210.20x = 73,291,888.38
  5. Step 5: Solve for x
    x = 73,291,888.38/12,210.20
  6. Step 6: Final answer
    x = 6,002.51

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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.