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Finding the Fourth Proportional to 16,041.32, 24,062 and 4,354.54

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Solution

The fourth proportional to 16,041.32, 24,062 and 4,354.54 is: 6,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.32 : 24,062 = 4,354.54 : x
  2. Step 2: Convert to fraction form
    16,041.32/24,062 = 4,354.54/x
  3. Step 3: Cross multiply
    16,041.32x = 24,062 × 4,354.54
  4. Step 4: Simplify right side
    16,041.32x = 104,778,941.48
  5. Step 5: Solve for x
    x = 104,778,941.48/16,041.32
  6. Step 6: Final answer
    x = 6,531.82

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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.