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Finding the Fourth Proportional to 19,825.12, 27,359.93 and 13,098.95

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Solution

The fourth proportional to 19,825.12, 27,359.93 and 13,098.95 is: 18,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.12 : 27,359.93 = 13,098.95 : x
  2. Step 2: Convert to fraction form
    19,825.12/27,359.93 = 13,098.95/x
  3. Step 3: Cross multiply
    19,825.12x = 27,359.93 × 13,098.95
  4. Step 4: Simplify right side
    19,825.12x = 358,386,289.58
  5. Step 5: Solve for x
    x = 358,386,289.58/19,825.12
  6. Step 6: Final answer
    x = 18,077.38

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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.