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Finding the Fourth Proportional to 24,423.28, 36,637.88 and 7,777.48

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Solution

The fourth proportional to 24,423.28, 36,637.88 and 7,777.48 is: 11,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.28 : 36,637.88 = 7,777.48 : x
  2. Step 2: Convert to fraction form
    24,423.28/36,637.88 = 7,777.48/x
  3. Step 3: Cross multiply
    24,423.28x = 36,637.88 × 7,777.48
  4. Step 4: Simplify right side
    24,423.28x = 284,950,378.94
  5. Step 5: Solve for x
    x = 284,950,378.94/24,423.28
  6. Step 6: Final answer
    x = 11,667.16

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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.