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Finding the Fourth Proportional to 16,783.88, 25,164.78 and 9,389.12

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Solution

The fourth proportional to 16,783.88, 25,164.78 and 9,389.12 is: 14,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.88 : 25,164.78 = 9,389.12 : x
  2. Step 2: Convert to fraction form
    16,783.88/25,164.78 = 9,389.12/x
  3. Step 3: Cross multiply
    16,783.88x = 25,164.78 × 9,389.12
  4. Step 4: Simplify right side
    16,783.88x = 236,275,139.19
  5. Step 5: Solve for x
    x = 236,275,139.19/16,783.88
  6. Step 6: Final answer
    x = 14,077.50

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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.