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Finding the Fourth Proportional to 15,424.82, 23,083.76 and 9,499.08

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Solution

The fourth proportional to 15,424.82, 23,083.76 and 9,499.08 is: 14,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424.82 : 23,083.76 = 9,499.08 : x
  2. Step 2: Convert to fraction form
    15,424.82/23,083.76 = 9,499.08/x
  3. Step 3: Cross multiply
    15,424.82x = 23,083.76 × 9,499.08
  4. Step 4: Simplify right side
    15,424.82x = 219,274,482.94
  5. Step 5: Solve for x
    x = 219,274,482.94/15,424.82
  6. Step 6: Final answer
    x = 14,215.69

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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.