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Finding the Fourth Proportional to 16,354.69, 24,533.52 and 5,258.63

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Solution

The fourth proportional to 16,354.69, 24,533.52 and 5,258.63 is: 7,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.69 : 24,533.52 = 5,258.63 : x
  2. Step 2: Convert to fraction form
    16,354.69/24,533.52 = 5,258.63/x
  3. Step 3: Cross multiply
    16,354.69x = 24,533.52 × 5,258.63
  4. Step 4: Simplify right side
    16,354.69x = 129,012,704.28
  5. Step 5: Solve for x
    x = 129,012,704.28/16,354.69
  6. Step 6: Final answer
    x = 7,888.42

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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.