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Finding the Fourth Proportional to 17,646.06, 24,351.10 and 9,688.21

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Solution

The fourth proportional to 17,646.06, 24,351.10 and 9,688.21 is: 13,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.06 : 24,351.10 = 9,688.21 : x
  2. Step 2: Convert to fraction form
    17,646.06/24,351.10 = 9,688.21/x
  3. Step 3: Cross multiply
    17,646.06x = 24,351.10 × 9,688.21
  4. Step 4: Simplify right side
    17,646.06x = 235,918,570.53
  5. Step 5: Solve for x
    x = 235,918,570.53/17,646.06
  6. Step 6: Final answer
    x = 13,369.48

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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.