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Finding the Fourth Proportional to 16,205.70, 24,319.35 and 7,436.10

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Solution

The fourth proportional to 16,205.70, 24,319.35 and 7,436.10 is: 11,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.70 : 24,319.35 = 7,436.10 : x
  2. Step 2: Convert to fraction form
    16,205.70/24,319.35 = 7,436.10/x
  3. Step 3: Cross multiply
    16,205.70x = 24,319.35 × 7,436.10
  4. Step 4: Simplify right side
    16,205.70x = 180,841,118.54
  5. Step 5: Solve for x
    x = 180,841,118.54/16,205.70
  6. Step 6: Final answer
    x = 11,159.11

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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.