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Finding the Fourth Proportional to 16,894.40, 25,363.20 and 9,003.20

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Solution

The fourth proportional to 16,894.40, 25,363.20 and 9,003.20 is: 13,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.40 : 25,363.20 = 9,003.20 : x
  2. Step 2: Convert to fraction form
    16,894.40/25,363.20 = 9,003.20/x
  3. Step 3: Cross multiply
    16,894.40x = 25,363.20 × 9,003.20
  4. Step 4: Simplify right side
    16,894.40x = 228,349,962.24
  5. Step 5: Solve for x
    x = 228,349,962.24/16,894.40
  6. Step 6: Final answer
    x = 13,516.31

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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.