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Finding the Fourth Proportional to 16,589.12, 22,895.93 and 9,878.63

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Solution

The fourth proportional to 16,589.12, 22,895.93 and 9,878.63 is: 13,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.12 : 22,895.93 = 9,878.63 : x
  2. Step 2: Convert to fraction form
    16,589.12/22,895.93 = 9,878.63/x
  3. Step 3: Cross multiply
    16,589.12x = 22,895.93 × 9,878.63
  4. Step 4: Simplify right side
    16,589.12x = 226,180,331.19
  5. Step 5: Solve for x
    x = 226,180,331.19/16,589.12
  6. Step 6: Final answer
    x = 13,634.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.