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Finding the Fourth Proportional to 27,802.16, 41,707.49 and 9,338.48

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Solution

The fourth proportional to 27,802.16, 41,707.49 and 9,338.48 is: 14,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.16 : 41,707.49 = 9,338.48 : x
  2. Step 2: Convert to fraction form
    27,802.16/41,707.49 = 9,338.48/x
  3. Step 3: Cross multiply
    27,802.16x = 41,707.49 × 9,338.48
  4. Step 4: Simplify right side
    27,802.16x = 389,484,376.02
  5. Step 5: Solve for x
    x = 389,484,376.02/27,802.16
  6. Step 6: Final answer
    x = 14,009.14

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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.