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Finding the Fourth Proportional to 16,334.52, 24,498.10 and 4,647.48

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Solution

The fourth proportional to 16,334.52, 24,498.10 and 4,647.48 is: 6,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.52 : 24,498.10 = 4,647.48 : x
  2. Step 2: Convert to fraction form
    16,334.52/24,498.10 = 4,647.48/x
  3. Step 3: Cross multiply
    16,334.52x = 24,498.10 × 4,647.48
  4. Step 4: Simplify right side
    16,334.52x = 113,854,429.79
  5. Step 5: Solve for x
    x = 113,854,429.79/16,334.52
  6. Step 6: Final answer
    x = 6,970.17

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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.