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Finding the Fourth Proportional to 17,595.84, 24,282.23 and 9,638.22

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Solution

The fourth proportional to 17,595.84, 24,282.23 and 9,638.22 is: 13,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,595.84 : 24,282.23 = 9,638.22 : x
  2. Step 2: Convert to fraction form
    17,595.84/24,282.23 = 9,638.22/x
  3. Step 3: Cross multiply
    17,595.84x = 24,282.23 × 9,638.22
  4. Step 4: Simplify right side
    17,595.84x = 234,037,426.64
  5. Step 5: Solve for x
    x = 234,037,426.64/17,595.84
  6. Step 6: Final answer
    x = 13,300.72

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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.