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Finding the Fourth Proportional to 11,580.17, 17,285.50 and 9,947.21

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Solution

The fourth proportional to 11,580.17, 17,285.50 and 9,947.21 is: 14,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.17 : 17,285.50 = 9,947.21 : x
  2. Step 2: Convert to fraction form
    11,580.17/17,285.50 = 9,947.21/x
  3. Step 3: Cross multiply
    11,580.17x = 17,285.50 × 9,947.21
  4. Step 4: Simplify right side
    11,580.17x = 171,942,424.46
  5. Step 5: Solve for x
    x = 171,942,424.46/11,580.17
  6. Step 6: Final answer
    x = 14,848.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.