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Finding the Fourth Proportional to 16,455.36, 24,693.99 and 7,690.95

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Solution

The fourth proportional to 16,455.36, 24,693.99 and 7,690.95 is: 11,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.36 : 24,693.99 = 7,690.95 : x
  2. Step 2: Convert to fraction form
    16,455.36/24,693.99 = 7,690.95/x
  3. Step 3: Cross multiply
    16,455.36x = 24,693.99 × 7,690.95
  4. Step 4: Simplify right side
    16,455.36x = 189,920,242.39
  5. Step 5: Solve for x
    x = 189,920,242.39/16,455.36
  6. Step 6: Final answer
    x = 11,541.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.