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Finding the Fourth Proportional to 16,822, 25,232.91 and 5,135.05

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Solution

The fourth proportional to 16,822, 25,232.91 and 5,135.05 is: 7,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822 : 25,232.91 = 5,135.05 : x
  2. Step 2: Convert to fraction form
    16,822/25,232.91 = 5,135.05/x
  3. Step 3: Cross multiply
    16,822x = 25,232.91 × 5,135.05
  4. Step 4: Simplify right side
    16,822x = 129,572,254.50
  5. Step 5: Solve for x
    x = 129,572,254.50/16,822
  6. Step 6: Final answer
    x = 7,702.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.