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Finding the Fourth Proportional to 13,897.48, 19,178.42 and 7,524.02

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Solution

The fourth proportional to 13,897.48, 19,178.42 and 7,524.02 is: 10,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.48 : 19,178.42 = 7,524.02 : x
  2. Step 2: Convert to fraction form
    13,897.48/19,178.42 = 7,524.02/x
  3. Step 3: Cross multiply
    13,897.48x = 19,178.42 × 7,524.02
  4. Step 4: Simplify right side
    13,897.48x = 144,298,815.65
  5. Step 5: Solve for x
    x = 144,298,815.65/13,897.48
  6. Step 6: Final answer
    x = 10,383.10

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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.