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Finding the Fourth Proportional to 19,829.70, 27,365.13 and 10,877.11

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Solution

The fourth proportional to 19,829.70, 27,365.13 and 10,877.11 is: 15,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.70 : 27,365.13 = 10,877.11 : x
  2. Step 2: Convert to fraction form
    19,829.70/27,365.13 = 10,877.11/x
  3. Step 3: Cross multiply
    19,829.70x = 27,365.13 × 10,877.11
  4. Step 4: Simplify right side
    19,829.70x = 297,653,460.76
  5. Step 5: Solve for x
    x = 297,653,460.76/19,829.70
  6. Step 6: Final answer
    x = 15,010.49

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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.