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Finding the Fourth Proportional to 16,346.88, 24,480 and 9,400.32

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Solution

The fourth proportional to 16,346.88, 24,480 and 9,400.32 is: 14,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.88 : 24,480 = 9,400.32 : x
  2. Step 2: Convert to fraction form
    16,346.88/24,480 = 9,400.32/x
  3. Step 3: Cross multiply
    16,346.88x = 24,480 × 9,400.32
  4. Step 4: Simplify right side
    16,346.88x = 230,119,833.60
  5. Step 5: Solve for x
    x = 230,119,833.60/16,346.88
  6. Step 6: Final answer
    x = 14,077.29

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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.