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Finding the Fourth Proportional to 16,205.20, 22,368.71 and 9,492.96

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Solution

The fourth proportional to 16,205.20, 22,368.71 and 9,492.96 is: 13,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.20 : 22,368.71 = 9,492.96 : x
  2. Step 2: Convert to fraction form
    16,205.20/22,368.71 = 9,492.96/x
  3. Step 3: Cross multiply
    16,205.20x = 22,368.71 × 9,492.96
  4. Step 4: Simplify right side
    16,205.20x = 212,345,323.50
  5. Step 5: Solve for x
    x = 212,345,323.50/16,205.20
  6. Step 6: Final answer
    x = 13,103.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.