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Finding the Fourth Proportional to 16,205.30, 24,307.95 and 9,206.90

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Solution

The fourth proportional to 16,205.30, 24,307.95 and 9,206.90 is: 13,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.30 : 24,307.95 = 9,206.90 : x
  2. Step 2: Convert to fraction form
    16,205.30/24,307.95 = 9,206.90/x
  3. Step 3: Cross multiply
    16,205.30x = 24,307.95 × 9,206.90
  4. Step 4: Simplify right side
    16,205.30x = 223,800,864.86
  5. Step 5: Solve for x
    x = 223,800,864.86/16,205.30
  6. Step 6: Final answer
    x = 13,810.35

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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.