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Finding the Fourth Proportional to 16,209.48, 22,363.50 and 9,838.08

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Solution

The fourth proportional to 16,209.48, 22,363.50 and 9,838.08 is: 13,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.48 : 22,363.50 = 9,838.08 : x
  2. Step 2: Convert to fraction form
    16,209.48/22,363.50 = 9,838.08/x
  3. Step 3: Cross multiply
    16,209.48x = 22,363.50 × 9,838.08
  4. Step 4: Simplify right side
    16,209.48x = 220,013,902.08
  5. Step 5: Solve for x
    x = 220,013,902.08/16,209.48
  6. Step 6: Final answer
    x = 13,573.16

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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.