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Finding the Fourth Proportional to 16,913.04, 23,337.72 and 9,834

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Solution

The fourth proportional to 16,913.04, 23,337.72 and 9,834 is: 13,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,913.04 : 23,337.72 = 9,834 : x
  2. Step 2: Convert to fraction form
    16,913.04/23,337.72 = 9,834/x
  3. Step 3: Cross multiply
    16,913.04x = 23,337.72 × 9,834
  4. Step 4: Simplify right side
    16,913.04x = 229,503,138.48
  5. Step 5: Solve for x
    x = 229,503,138.48/16,913.04
  6. Step 6: Final answer
    x = 13,569.60

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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.