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Finding the Fourth Proportional to 19,805.84, 27,332.24 and 10,854.20

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Solution

The fourth proportional to 19,805.84, 27,332.24 and 10,854.20 is: 14,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.84 : 27,332.24 = 10,854.20 : x
  2. Step 2: Convert to fraction form
    19,805.84/27,332.24 = 10,854.20/x
  3. Step 3: Cross multiply
    19,805.84x = 27,332.24 × 10,854.20
  4. Step 4: Simplify right side
    19,805.84x = 296,669,599.41
  5. Step 5: Solve for x
    x = 296,669,599.41/19,805.84
  6. Step 6: Final answer
    x = 14,978.90

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1.5x scale

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.