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Finding the Fourth Proportional to 28,235.26, 42,352.88 and 9,767.26

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Solution

The fourth proportional to 28,235.26, 42,352.88 and 9,767.26 is: 14,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,235.26 : 42,352.88 = 9,767.26 : x
  2. Step 2: Convert to fraction form
    28,235.26/42,352.88 = 9,767.26/x
  3. Step 3: Cross multiply
    28,235.26x = 42,352.88 × 9,767.26
  4. Step 4: Simplify right side
    28,235.26x = 413,671,590.71
  5. Step 5: Solve for x
    x = 413,671,590.71/28,235.26
  6. Step 6: Final answer
    x = 14,650.89

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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.