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Finding the Fourth Proportional to 27,802.86, 41,708.91 and 9,077.46

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Solution

The fourth proportional to 27,802.86, 41,708.91 and 9,077.46 is: 13,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.86 : 41,708.91 = 9,077.46 : x
  2. Step 2: Convert to fraction form
    27,802.86/41,708.91 = 9,077.46/x
  3. Step 3: Cross multiply
    27,802.86x = 41,708.91 × 9,077.46
  4. Step 4: Simplify right side
    27,802.86x = 378,610,962.17
  5. Step 5: Solve for x
    x = 378,610,962.17/27,802.86
  6. Step 6: Final answer
    x = 13,617.70

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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.