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Finding the Fourth Proportional to 23,064.50, 34,596.75 and 7,482.13

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Solution

The fourth proportional to 23,064.50, 34,596.75 and 7,482.13 is: 11,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064.50 : 34,596.75 = 7,482.13 : x
  2. Step 2: Convert to fraction form
    23,064.50/34,596.75 = 7,482.13/x
  3. Step 3: Cross multiply
    23,064.50x = 34,596.75 × 7,482.13
  4. Step 4: Simplify right side
    23,064.50x = 258,857,381.08
  5. Step 5: Solve for x
    x = 258,857,381.08/23,064.50
  6. Step 6: Final answer
    x = 11,223.20

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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.