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Finding the Fourth Proportional to 13,948.52, 19,252.86 and 9,416.48

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Solution

The fourth proportional to 13,948.52, 19,252.86 and 9,416.48 is: 12,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.52 : 19,252.86 = 9,416.48 : x
  2. Step 2: Convert to fraction form
    13,948.52/19,252.86 = 9,416.48/x
  3. Step 3: Cross multiply
    13,948.52x = 19,252.86 × 9,416.48
  4. Step 4: Simplify right side
    13,948.52x = 181,294,171.13
  5. Step 5: Solve for x
    x = 181,294,171.13/13,948.52
  6. Step 6: Final answer
    x = 12,997.38

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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.