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Finding the Fourth Proportional to 27,643.80, 38,148.51 and 15,711.10

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Solution

The fourth proportional to 27,643.80, 38,148.51 and 15,711.10 is: 21,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.80 : 38,148.51 = 15,711.10 : x
  2. Step 2: Convert to fraction form
    27,643.80/38,148.51 = 15,711.10/x
  3. Step 3: Cross multiply
    27,643.80x = 38,148.51 × 15,711.10
  4. Step 4: Simplify right side
    27,643.80x = 599,355,055.46
  5. Step 5: Solve for x
    x = 599,355,055.46/27,643.80
  6. Step 6: Final answer
    x = 21,681.36

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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.