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Finding the Fourth Proportional to 22,698.66, 34,047.99 and 7,117.50

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Solution

The fourth proportional to 22,698.66, 34,047.99 and 7,117.50 is: 10,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698.66 : 34,047.99 = 7,117.50 : x
  2. Step 2: Convert to fraction form
    22,698.66/34,047.99 = 7,117.50/x
  3. Step 3: Cross multiply
    22,698.66x = 34,047.99 × 7,117.50
  4. Step 4: Simplify right side
    22,698.66x = 242,336,568.83
  5. Step 5: Solve for x
    x = 242,336,568.83/22,698.66
  6. Step 6: Final answer
    x = 10,676.25

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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.