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Finding the Fourth Proportional to 24,349.35, 36,509.94 and 9,540.93

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Solution

The fourth proportional to 24,349.35, 36,509.94 and 9,540.93 is: 14,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,349.35 : 36,509.94 = 9,540.93 : x
  2. Step 2: Convert to fraction form
    24,349.35/36,509.94 = 9,540.93/x
  3. Step 3: Cross multiply
    24,349.35x = 36,509.94 × 9,540.93
  4. Step 4: Simplify right side
    24,349.35x = 348,338,781.84
  5. Step 5: Solve for x
    x = 348,338,781.84/24,349.35
  6. Step 6: Final answer
    x = 14,305.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.