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Finding the Fourth Proportional to 19,092.80, 28,631.10 and 9,235.10

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Solution

The fourth proportional to 19,092.80, 28,631.10 and 9,235.10 is: 13,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,092.80 : 28,631.10 = 9,235.10 : x
  2. Step 2: Convert to fraction form
    19,092.80/28,631.10 = 9,235.10/x
  3. Step 3: Cross multiply
    19,092.80x = 28,631.10 × 9,235.10
  4. Step 4: Simplify right side
    19,092.80x = 264,411,071.61
  5. Step 5: Solve for x
    x = 264,411,071.61/19,092.80
  6. Step 6: Final answer
    x = 13,848.73

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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.