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Finding the Fourth Proportional to 26,952.99, 40,429.76 and 9,423.24

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Solution

The fourth proportional to 26,952.99, 40,429.76 and 9,423.24 is: 14,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,952.99 : 40,429.76 = 9,423.24 : x
  2. Step 2: Convert to fraction form
    26,952.99/40,429.76 = 9,423.24/x
  3. Step 3: Cross multiply
    26,952.99x = 40,429.76 × 9,423.24
  4. Step 4: Simplify right side
    26,952.99x = 380,979,284.51
  5. Step 5: Solve for x
    x = 380,979,284.51/26,952.99
  6. Step 6: Final answer
    x = 14,134.95

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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.