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Finding the Fourth Proportional to 28,307.85, 42,467.82 and 9,587.24

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Solution

The fourth proportional to 28,307.85, 42,467.82 and 9,587.24 is: 14,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,307.85 : 42,467.82 = 9,587.24 : x
  2. Step 2: Convert to fraction form
    28,307.85/42,467.82 = 9,587.24/x
  3. Step 3: Cross multiply
    28,307.85x = 42,467.82 × 9,587.24
  4. Step 4: Simplify right side
    28,307.85x = 407,149,001.10
  5. Step 5: Solve for x
    x = 407,149,001.10/28,307.85
  6. Step 6: Final answer
    x = 14,382.90

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