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Finding the Fourth Proportional to 16,064.76, 24,088.24 and 4,968.48

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Solution

The fourth proportional to 16,064.76, 24,088.24 and 4,968.48 is: 7,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.76 : 24,088.24 = 4,968.48 : x
  2. Step 2: Convert to fraction form
    16,064.76/24,088.24 = 4,968.48/x
  3. Step 3: Cross multiply
    16,064.76x = 24,088.24 × 4,968.48
  4. Step 4: Simplify right side
    16,064.76x = 119,681,938.68
  5. Step 5: Solve for x
    x = 119,681,938.68/16,064.76
  6. Step 6: Final answer
    x = 7,449.97

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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.