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Finding the Fourth Proportional to 16,068.38, 22,176.79 and 9,784.40

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Solution

The fourth proportional to 16,068.38, 22,176.79 and 9,784.40 is: 13,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,068.38 : 22,176.79 = 9,784.40 : x
  2. Step 2: Convert to fraction form
    16,068.38/22,176.79 = 9,784.40/x
  3. Step 3: Cross multiply
    16,068.38x = 22,176.79 × 9,784.40
  4. Step 4: Simplify right side
    16,068.38x = 216,986,448.73
  5. Step 5: Solve for x
    x = 216,986,448.73/16,068.38
  6. Step 6: Final answer
    x = 13,503.94

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Why These Related Problems?

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