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Finding the Fourth Proportional to 16,043.10, 24,064.65 and 9,822.30

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Solution

The fourth proportional to 16,043.10, 24,064.65 and 9,822.30 is: 14,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.10 : 24,064.65 = 9,822.30 : x
  2. Step 2: Convert to fraction form
    16,043.10/24,064.65 = 9,822.30/x
  3. Step 3: Cross multiply
    16,043.10x = 24,064.65 × 9,822.30
  4. Step 4: Simplify right side
    16,043.10x = 236,370,211.70
  5. Step 5: Solve for x
    x = 236,370,211.70/16,043.10
  6. Step 6: Final answer
    x = 14,733.45

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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.