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Finding the Fourth Proportional to 19,098, 28,654.29 and 7,412.13

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Solution

The fourth proportional to 19,098, 28,654.29 and 7,412.13 is: 11,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098 : 28,654.29 = 7,412.13 : x
  2. Step 2: Convert to fraction form
    19,098/28,654.29 = 7,412.13/x
  3. Step 3: Cross multiply
    19,098x = 28,654.29 × 7,412.13
  4. Step 4: Simplify right side
    19,098x = 212,389,322.54
  5. Step 5: Solve for x
    x = 212,389,322.54/19,098
  6. Step 6: Final answer
    x = 11,121.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.