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Finding the Fourth Proportional to 15,707.34, 23,529.87 and 9,468.99

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Solution

The fourth proportional to 15,707.34, 23,529.87 and 9,468.99 is: 14,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.34 : 23,529.87 = 9,468.99 : x
  2. Step 2: Convert to fraction form
    15,707.34/23,529.87 = 9,468.99/x
  3. Step 3: Cross multiply
    15,707.34x = 23,529.87 × 9,468.99
  4. Step 4: Simplify right side
    15,707.34x = 222,804,103.73
  5. Step 5: Solve for x
    x = 222,804,103.73/15,707.34
  6. Step 6: Final answer
    x = 14,184.71

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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.