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Finding the Fourth Proportional to 17,862.63, 24,644.75 and 10,307.96

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Solution

The fourth proportional to 17,862.63, 24,644.75 and 10,307.96 is: 14,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.63 : 24,644.75 = 10,307.96 : x
  2. Step 2: Convert to fraction form
    17,862.63/24,644.75 = 10,307.96/x
  3. Step 3: Cross multiply
    17,862.63x = 24,644.75 × 10,307.96
  4. Step 4: Simplify right side
    17,862.63x = 254,037,097.21
  5. Step 5: Solve for x
    x = 254,037,097.21/17,862.63
  6. Step 6: Final answer
    x = 14,221.71

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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.