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Finding the Fourth Proportional to 23,054.34, 34,582.08 and 9,013.80

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Solution

The fourth proportional to 23,054.34, 34,582.08 and 9,013.80 is: 13,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.34 : 34,582.08 = 9,013.80 : x
  2. Step 2: Convert to fraction form
    23,054.34/34,582.08 = 9,013.80/x
  3. Step 3: Cross multiply
    23,054.34x = 34,582.08 × 9,013.80
  4. Step 4: Simplify right side
    23,054.34x = 311,715,952.70
  5. Step 5: Solve for x
    x = 311,715,952.70/23,054.34
  6. Step 6: Final answer
    x = 13,520.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.