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Finding the Fourth Proportional to 19,805.31, 27,332.19 and 10,853.46

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Solution

The fourth proportional to 19,805.31, 27,332.19 and 10,853.46 is: 14,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.31 : 27,332.19 = 10,853.46 : x
  2. Step 2: Convert to fraction form
    19,805.31/27,332.19 = 10,853.46/x
  3. Step 3: Cross multiply
    19,805.31x = 27,332.19 × 10,853.46
  4. Step 4: Simplify right side
    19,805.31x = 296,648,830.88
  5. Step 5: Solve for x
    x = 296,648,830.88/19,805.31
  6. Step 6: Final answer
    x = 14,978.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.