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Finding the Fourth Proportional to 27,102.65, 40,636.63 and 13,034.66

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Solution

The fourth proportional to 27,102.65, 40,636.63 and 13,034.66 is: 19,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.65 : 40,636.63 = 13,034.66 : x
  2. Step 2: Convert to fraction form
    27,102.65/40,636.63 = 13,034.66/x
  3. Step 3: Cross multiply
    27,102.65x = 40,636.63 × 13,034.66
  4. Step 4: Simplify right side
    27,102.65x = 529,684,603.48
  5. Step 5: Solve for x
    x = 529,684,603.48/27,102.65
  6. Step 6: Final answer
    x = 19,543.65

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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.