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Finding the Fourth Proportional to 28,421.67, 42,632.48 and 7,645.17

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Solution

The fourth proportional to 28,421.67, 42,632.48 and 7,645.17 is: 11,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,421.67 : 42,632.48 = 7,645.17 : x
  2. Step 2: Convert to fraction form
    28,421.67/42,632.48 = 7,645.17/x
  3. Step 3: Cross multiply
    28,421.67x = 42,632.48 × 7,645.17
  4. Step 4: Simplify right side
    28,421.67x = 325,932,518.90
  5. Step 5: Solve for x
    x = 325,932,518.90/28,421.67
  6. Step 6: Final answer
    x = 11,467.75

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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.