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Finding the Fourth Proportional to 28,286, 42,429.14 and 9,566.16

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Solution

The fourth proportional to 28,286, 42,429.14 and 9,566.16 is: 14,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286 : 42,429.14 = 9,566.16 : x
  2. Step 2: Convert to fraction form
    28,286/42,429.14 = 9,566.16/x
  3. Step 3: Cross multiply
    28,286x = 42,429.14 × 9,566.16
  4. Step 4: Simplify right side
    28,286x = 405,883,941.90
  5. Step 5: Solve for x
    x = 405,883,941.90/28,286
  6. Step 6: Final answer
    x = 14,349.29

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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.