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Finding the Fourth Proportional to 13,802.17, 19,047.76 and 8,140.23

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Solution

The fourth proportional to 13,802.17, 19,047.76 and 8,140.23 is: 11,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.17 : 19,047.76 = 8,140.23 : x
  2. Step 2: Convert to fraction form
    13,802.17/19,047.76 = 8,140.23/x
  3. Step 3: Cross multiply
    13,802.17x = 19,047.76 × 8,140.23
  4. Step 4: Simplify right side
    13,802.17x = 155,053,147.38
  5. Step 5: Solve for x
    x = 155,053,147.38/13,802.17
  6. Step 6: Final answer
    x = 11,233.97

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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.