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Finding the Fourth Proportional to 24,204.51, 36,307.67 and 6,675.66

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Solution

The fourth proportional to 24,204.51, 36,307.67 and 6,675.66 is: 10,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204.51 : 36,307.67 = 6,675.66 : x
  2. Step 2: Convert to fraction form
    24,204.51/36,307.67 = 6,675.66/x
  3. Step 3: Cross multiply
    24,204.51x = 36,307.67 × 6,675.66
  4. Step 4: Simplify right side
    24,204.51x = 242,377,626.93
  5. Step 5: Solve for x
    x = 242,377,626.93/24,204.51
  6. Step 6: Final answer
    x = 10,013.74

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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.