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Finding the Fourth Proportional to 27,102.84, 40,654.62 and 13,059.90

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Solution

The fourth proportional to 27,102.84, 40,654.62 and 13,059.90 is: 19,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.84 : 40,654.62 = 13,059.90 : x
  2. Step 2: Convert to fraction form
    27,102.84/40,654.62 = 13,059.90/x
  3. Step 3: Cross multiply
    27,102.84x = 40,654.62 × 13,059.90
  4. Step 4: Simplify right side
    27,102.84x = 530,945,271.74
  5. Step 5: Solve for x
    x = 530,945,271.74/27,102.84
  6. Step 6: Final answer
    x = 19,590.02

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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.