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Finding the Fourth Proportional to 23,133.66, 34,720.14 and 9,103.50

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Solution

The fourth proportional to 23,133.66, 34,720.14 and 9,103.50 is: 13,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.66 : 34,720.14 = 9,103.50 : x
  2. Step 2: Convert to fraction form
    23,133.66/34,720.14 = 9,103.50/x
  3. Step 3: Cross multiply
    23,133.66x = 34,720.14 × 9,103.50
  4. Step 4: Simplify right side
    23,133.66x = 316,074,794.49
  5. Step 5: Solve for x
    x = 316,074,794.49/23,133.66
  6. Step 6: Final answer
    x = 13,662.98

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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.