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Finding the Fourth Proportional to 24,536.13, 36,803.38 and 7,897.11

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Solution

The fourth proportional to 24,536.13, 36,803.38 and 7,897.11 is: 11,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.13 : 36,803.38 = 7,897.11 : x
  2. Step 2: Convert to fraction form
    24,536.13/36,803.38 = 7,897.11/x
  3. Step 3: Cross multiply
    24,536.13x = 36,803.38 × 7,897.11
  4. Step 4: Simplify right side
    24,536.13x = 290,640,340.23
  5. Step 5: Solve for x
    x = 290,640,340.23/24,536.13
  6. Step 6: Final answer
    x = 11,845.40

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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.