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Finding the Fourth Proportional to 24,369.96, 36,560.46 and 7,731

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Solution

The fourth proportional to 24,369.96, 36,560.46 and 7,731 is: 11,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,369.96 : 36,560.46 = 7,731 : x
  2. Step 2: Convert to fraction form
    24,369.96/36,560.46 = 7,731/x
  3. Step 3: Cross multiply
    24,369.96x = 36,560.46 × 7,731
  4. Step 4: Simplify right side
    24,369.96x = 282,648,916.26
  5. Step 5: Solve for x
    x = 282,648,916.26/24,369.96
  6. Step 6: Final answer
    x = 11,598.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.