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Finding the Fourth Proportional to 14,661.48, 21,981.78 and 6,866.04

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Solution

The fourth proportional to 14,661.48, 21,981.78 and 6,866.04 is: 10,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.48 : 21,981.78 = 6,866.04 : x
  2. Step 2: Convert to fraction form
    14,661.48/21,981.78 = 6,866.04/x
  3. Step 3: Cross multiply
    14,661.48x = 21,981.78 × 6,866.04
  4. Step 4: Simplify right side
    14,661.48x = 150,927,780.75
  5. Step 5: Solve for x
    x = 150,927,780.75/14,661.48
  6. Step 6: Final answer
    x = 10,294.17

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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.