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Finding the Fourth Proportional to 14,359.39, 19,825.63 and 12,842.24

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Solution

The fourth proportional to 14,359.39, 19,825.63 and 12,842.24 is: 17,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359.39 : 19,825.63 = 12,842.24 : x
  2. Step 2: Convert to fraction form
    14,359.39/19,825.63 = 12,842.24/x
  3. Step 3: Cross multiply
    14,359.39x = 19,825.63 × 12,842.24
  4. Step 4: Simplify right side
    14,359.39x = 254,605,367.38
  5. Step 5: Solve for x
    x = 254,605,367.38/14,359.39
  6. Step 6: Final answer
    x = 17,730.94

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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.