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Finding the Fourth Proportional to 17,772.34, 24,525.90 and 9,814.84

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Solution

The fourth proportional to 17,772.34, 24,525.90 and 9,814.84 is: 13,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.34 : 24,525.90 = 9,814.84 : x
  2. Step 2: Convert to fraction form
    17,772.34/24,525.90 = 9,814.84/x
  3. Step 3: Cross multiply
    17,772.34x = 24,525.90 × 9,814.84
  4. Step 4: Simplify right side
    17,772.34x = 240,717,784.36
  5. Step 5: Solve for x
    x = 240,717,784.36/17,772.34
  6. Step 6: Final answer
    x = 13,544.52

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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.