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Finding the Fourth Proportional to 17,772.19, 24,525.63 and 9,814.96

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Solution

The fourth proportional to 17,772.19, 24,525.63 and 9,814.96 is: 13,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.19 : 24,525.63 = 9,814.96 : x
  2. Step 2: Convert to fraction form
    17,772.19/24,525.63 = 9,814.96/x
  3. Step 3: Cross multiply
    17,772.19x = 24,525.63 × 9,814.96
  4. Step 4: Simplify right side
    17,772.19x = 240,718,077.42
  5. Step 5: Solve for x
    x = 240,718,077.42/17,772.19
  6. Step 6: Final answer
    x = 13,544.65

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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.