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Finding the Fourth Proportional to 17,646.84, 24,352.20 and 9,580.14

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Solution

The fourth proportional to 17,646.84, 24,352.20 and 9,580.14 is: 13,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.84 : 24,352.20 = 9,580.14 : x
  2. Step 2: Convert to fraction form
    17,646.84/24,352.20 = 9,580.14/x
  3. Step 3: Cross multiply
    17,646.84x = 24,352.20 × 9,580.14
  4. Step 4: Simplify right side
    17,646.84x = 233,297,485.31
  5. Step 5: Solve for x
    x = 233,297,485.31/17,646.84
  6. Step 6: Final answer
    x = 13,220.35

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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.