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Finding the Fourth Proportional to 12,897.14, 19,345.70 and 3,663.14

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Solution

The fourth proportional to 12,897.14, 19,345.70 and 3,663.14 is: 5,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.14 : 19,345.70 = 3,663.14 : x
  2. Step 2: Convert to fraction form
    12,897.14/19,345.70 = 3,663.14/x
  3. Step 3: Cross multiply
    12,897.14x = 19,345.70 × 3,663.14
  4. Step 4: Simplify right side
    12,897.14x = 70,866,007.50
  5. Step 5: Solve for x
    x = 70,866,007.50/12,897.14
  6. Step 6: Final answer
    x = 5,494.71

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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.