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Finding the Fourth Proportional to 28,590.96, 42,885.12 and 7,814.40

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Solution

The fourth proportional to 28,590.96, 42,885.12 and 7,814.40 is: 11,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,590.96 : 42,885.12 = 7,814.40 : x
  2. Step 2: Convert to fraction form
    28,590.96/42,885.12 = 7,814.40/x
  3. Step 3: Cross multiply
    28,590.96x = 42,885.12 × 7,814.40
  4. Step 4: Simplify right side
    28,590.96x = 335,121,481.73
  5. Step 5: Solve for x
    x = 335,121,481.73/28,590.96
  6. Step 6: Final answer
    x = 11,721.24

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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.