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Finding the Fourth Proportional to 27,260.50, 40,866.10 and 9,726.16

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Solution

The fourth proportional to 27,260.50, 40,866.10 and 9,726.16 is: 14,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,260.50 : 40,866.10 = 9,726.16 : x
  2. Step 2: Convert to fraction form
    27,260.50/40,866.10 = 9,726.16/x
  3. Step 3: Cross multiply
    27,260.50x = 40,866.10 × 9,726.16
  4. Step 4: Simplify right side
    27,260.50x = 397,470,227.18
  5. Step 5: Solve for x
    x = 397,470,227.18/27,260.50
  6. Step 6: Final answer
    x = 14,580.45

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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.