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Finding the Fourth Proportional to 22,705.93, 34,064.09 and 6,913.21

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Solution

The fourth proportional to 22,705.93, 34,064.09 and 6,913.21 is: 10,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.93 : 34,064.09 = 6,913.21 : x
  2. Step 2: Convert to fraction form
    22,705.93/34,064.09 = 6,913.21/x
  3. Step 3: Cross multiply
    22,705.93x = 34,064.09 × 6,913.21
  4. Step 4: Simplify right side
    22,705.93x = 235,492,173.06
  5. Step 5: Solve for x
    x = 235,492,173.06/22,705.93
  6. Step 6: Final answer
    x = 10,371.40

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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.