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Finding the Fourth Proportional to 16,524.38, 22,803.35 and 9,810.29

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Solution

The fourth proportional to 16,524.38, 22,803.35 and 9,810.29 is: 13,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.38 : 22,803.35 = 9,810.29 : x
  2. Step 2: Convert to fraction form
    16,524.38/22,803.35 = 9,810.29/x
  3. Step 3: Cross multiply
    16,524.38x = 22,803.35 × 9,810.29
  4. Step 4: Simplify right side
    16,524.38x = 223,707,447.89
  5. Step 5: Solve for x
    x = 223,707,447.89/16,524.38
  6. Step 6: Final answer
    x = 13,538.02

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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.