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Finding the Fourth Proportional to 28,424.89, 42,642.60 and 9,703.90

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Solution

The fourth proportional to 28,424.89, 42,642.60 and 9,703.90 is: 14,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424.89 : 42,642.60 = 9,703.90 : x
  2. Step 2: Convert to fraction form
    28,424.89/42,642.60 = 9,703.90/x
  3. Step 3: Cross multiply
    28,424.89x = 42,642.60 × 9,703.90
  4. Step 4: Simplify right side
    28,424.89x = 413,799,526.14
  5. Step 5: Solve for x
    x = 413,799,526.14/28,424.89
  6. Step 6: Final answer
    x = 14,557.65

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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.