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Finding the Fourth Proportional to 24,307.66, 36,461.66 and 6,777.64

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Solution

The fourth proportional to 24,307.66, 36,461.66 and 6,777.64 is: 10,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.66 : 36,461.66 = 6,777.64 : x
  2. Step 2: Convert to fraction form
    24,307.66/36,461.66 = 6,777.64/x
  3. Step 3: Cross multiply
    24,307.66x = 36,461.66 × 6,777.64
  4. Step 4: Simplify right side
    24,307.66x = 247,124,005.28
  5. Step 5: Solve for x
    x = 247,124,005.28/24,307.66
  6. Step 6: Final answer
    x = 10,166.51

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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.