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Finding the Fourth Proportional to 14,750.65, 22,113.97 and 6,858.14

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Solution

The fourth proportional to 14,750.65, 22,113.97 and 6,858.14 is: 10,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750.65 : 22,113.97 = 6,858.14 : x
  2. Step 2: Convert to fraction form
    14,750.65/22,113.97 = 6,858.14/x
  3. Step 3: Cross multiply
    14,750.65x = 22,113.97 × 6,858.14
  4. Step 4: Simplify right side
    14,750.65x = 151,660,702.22
  5. Step 5: Solve for x
    x = 151,660,702.22/14,750.65
  6. Step 6: Final answer
    x = 10,281.63

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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.