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Finding the Fourth Proportional to 16,307.69, 24,442.62 and 7,524.32

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Solution

The fourth proportional to 16,307.69, 24,442.62 and 7,524.32 is: 11,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.69 : 24,442.62 = 7,524.32 : x
  2. Step 2: Convert to fraction form
    16,307.69/24,442.62 = 7,524.32/x
  3. Step 3: Cross multiply
    16,307.69x = 24,442.62 × 7,524.32
  4. Step 4: Simplify right side
    16,307.69x = 183,913,972.31
  5. Step 5: Solve for x
    x = 183,913,972.31/16,307.69
  6. Step 6: Final answer
    x = 11,277.75

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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.