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Finding the Fourth Proportional to 11,580.84, 17,332.38 and 9,617.40

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Solution

The fourth proportional to 11,580.84, 17,332.38 and 9,617.40 is: 14,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.84 : 17,332.38 = 9,617.40 : x
  2. Step 2: Convert to fraction form
    11,580.84/17,332.38 = 9,617.40/x
  3. Step 3: Cross multiply
    11,580.84x = 17,332.38 × 9,617.40
  4. Step 4: Simplify right side
    11,580.84x = 166,692,431.41
  5. Step 5: Solve for x
    x = 166,692,431.41/11,580.84
  6. Step 6: Final answer
    x = 14,393.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.