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Finding the Fourth Proportional to 24,307.14, 36,462.77 and 6,776.99

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Solution

The fourth proportional to 24,307.14, 36,462.77 and 6,776.99 is: 10,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.14 : 36,462.77 = 6,776.99 : x
  2. Step 2: Convert to fraction form
    24,307.14/36,462.77 = 6,776.99/x
  3. Step 3: Cross multiply
    24,307.14x = 36,462.77 × 6,776.99
  4. Step 4: Simplify right side
    24,307.14x = 247,107,827.66
  5. Step 5: Solve for x
    x = 247,107,827.66/24,307.14
  6. Step 6: Final answer
    x = 10,166.06

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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.