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Finding the Fourth Proportional to 19,900.71, 27,462.54 and 10,948.02

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Solution

The fourth proportional to 19,900.71, 27,462.54 and 10,948.02 is: 15,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.71 : 27,462.54 = 10,948.02 : x
  2. Step 2: Convert to fraction form
    19,900.71/27,462.54 = 10,948.02/x
  3. Step 3: Cross multiply
    19,900.71x = 27,462.54 × 10,948.02
  4. Step 4: Simplify right side
    19,900.71x = 300,660,437.17
  5. Step 5: Solve for x
    x = 300,660,437.17/19,900.71
  6. Step 6: Final answer
    x = 15,108.03

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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.