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Finding the Fourth Proportional to 12,666.24, 19,002.24 and 3,902.40

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Solution

The fourth proportional to 12,666.24, 19,002.24 and 3,902.40 is: 5,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.24 : 19,002.24 = 3,902.40 : x
  2. Step 2: Convert to fraction form
    12,666.24/19,002.24 = 3,902.40/x
  3. Step 3: Cross multiply
    12,666.24x = 19,002.24 × 3,902.40
  4. Step 4: Simplify right side
    12,666.24x = 74,154,341.38
  5. Step 5: Solve for x
    x = 74,154,341.38/12,666.24
  6. Step 6: Final answer
    x = 5,854.49

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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.