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Finding the Fourth Proportional to 16,048.67, 24,071.18 and 4,955.41

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Solution

The fourth proportional to 16,048.67, 24,071.18 and 4,955.41 is: 7,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.67 : 24,071.18 = 4,955.41 : x
  2. Step 2: Convert to fraction form
    16,048.67/24,071.18 = 4,955.41/x
  3. Step 3: Cross multiply
    16,048.67x = 24,071.18 × 4,955.41
  4. Step 4: Simplify right side
    16,048.67x = 119,282,571.40
  5. Step 5: Solve for x
    x = 119,282,571.40/16,048.67
  6. Step 6: Final answer
    x = 7,432.55

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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.