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Finding the Fourth Proportional to 22,790.53, 34,189.41 and 9,643

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Solution

The fourth proportional to 22,790.53, 34,189.41 and 9,643 is: 14,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,790.53 : 34,189.41 = 9,643 : x
  2. Step 2: Convert to fraction form
    22,790.53/34,189.41 = 9,643/x
  3. Step 3: Cross multiply
    22,790.53x = 34,189.41 × 9,643
  4. Step 4: Simplify right side
    22,790.53x = 329,688,480.63
  5. Step 5: Solve for x
    x = 329,688,480.63/22,790.53
  6. Step 6: Final answer
    x = 14,466.03

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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.