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Finding the Fourth Proportional to 16,205.40, 24,293.70 and 9,624.60

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Solution

The fourth proportional to 16,205.40, 24,293.70 and 9,624.60 is: 14,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.40 : 24,293.70 = 9,624.60 : x
  2. Step 2: Convert to fraction form
    16,205.40/24,293.70 = 9,624.60/x
  3. Step 3: Cross multiply
    16,205.40x = 24,293.70 × 9,624.60
  4. Step 4: Simplify right side
    16,205.40x = 233,817,145.02
  5. Step 5: Solve for x
    x = 233,817,145.02/16,205.40
  6. Step 6: Final answer
    x = 14,428.35

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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.