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Finding the Fourth Proportional to 12,346.49, 17,038.49 and 7,041.80

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Solution

The fourth proportional to 12,346.49, 17,038.49 and 7,041.80 is: 9,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.49 : 17,038.49 = 7,041.80 : x
  2. Step 2: Convert to fraction form
    12,346.49/17,038.49 = 7,041.80/x
  3. Step 3: Cross multiply
    12,346.49x = 17,038.49 × 7,041.80
  4. Step 4: Simplify right side
    12,346.49x = 119,981,646.27
  5. Step 5: Solve for x
    x = 119,981,646.27/12,346.49
  6. Step 6: Final answer
    x = 9,717.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.