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Finding the Fourth Proportional to 24,420.40, 36,629.02 and 7,792.41

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Solution

The fourth proportional to 24,420.40, 36,629.02 and 7,792.41 is: 11,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420.40 : 36,629.02 = 7,792.41 : x
  2. Step 2: Convert to fraction form
    24,420.40/36,629.02 = 7,792.41/x
  3. Step 3: Cross multiply
    24,420.40x = 36,629.02 × 7,792.41
  4. Step 4: Simplify right side
    24,420.40x = 285,428,341.74
  5. Step 5: Solve for x
    x = 285,428,341.74/24,420.40
  6. Step 6: Final answer
    x = 11,688.11

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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.