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Finding the Fourth Proportional to 17,487.82, 24,133.15 and 9,530.03

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Solution

The fourth proportional to 17,487.82, 24,133.15 and 9,530.03 is: 13,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,487.82 : 24,133.15 = 9,530.03 : x
  2. Step 2: Convert to fraction form
    17,487.82/24,133.15 = 9,530.03/x
  3. Step 3: Cross multiply
    17,487.82x = 24,133.15 × 9,530.03
  4. Step 4: Simplify right side
    17,487.82x = 229,989,715.74
  5. Step 5: Solve for x
    x = 229,989,715.74/17,487.82
  6. Step 6: Final answer
    x = 13,151.42

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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.