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Finding the Fourth Proportional to 15,914.70, 23,897.55 and 12,654.90

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Solution

The fourth proportional to 15,914.70, 23,897.55 and 12,654.90 is: 19,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.70 : 23,897.55 = 12,654.90 : x
  2. Step 2: Convert to fraction form
    15,914.70/23,897.55 = 12,654.90/x
  3. Step 3: Cross multiply
    15,914.70x = 23,897.55 × 12,654.90
  4. Step 4: Simplify right side
    15,914.70x = 302,421,105.50
  5. Step 5: Solve for x
    x = 302,421,105.50/15,914.70
  6. Step 6: Final answer
    x = 19,002.63

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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.