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Finding the Fourth Proportional to 24,588.48, 36,899.82 and 9,796.08

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Solution

The fourth proportional to 24,588.48, 36,899.82 and 9,796.08 is: 14,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588.48 : 36,899.82 = 9,796.08 : x
  2. Step 2: Convert to fraction form
    24,588.48/36,899.82 = 9,796.08/x
  3. Step 3: Cross multiply
    24,588.48x = 36,899.82 × 9,796.08
  4. Step 4: Simplify right side
    24,588.48x = 361,473,588.71
  5. Step 5: Solve for x
    x = 361,473,588.71/24,588.48
  6. Step 6: Final answer
    x = 14,700.93

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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.