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Finding the Fourth Proportional to 16,524.96, 22,803.36 and 9,810.24

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Solution

The fourth proportional to 16,524.96, 22,803.36 and 9,810.24 is: 13,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.96 : 22,803.36 = 9,810.24 : x
  2. Step 2: Convert to fraction form
    16,524.96/22,803.36 = 9,810.24/x
  3. Step 3: Cross multiply
    16,524.96x = 22,803.36 × 9,810.24
  4. Step 4: Simplify right side
    16,524.96x = 223,706,434.41
  5. Step 5: Solve for x
    x = 223,706,434.41/16,524.96
  6. Step 6: Final answer
    x = 13,537.49

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