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Finding the Fourth Proportional to 13,570.84, 18,724.62 and 8,533.72

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Solution

The fourth proportional to 13,570.84, 18,724.62 and 8,533.72 is: 11,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.84 : 18,724.62 = 8,533.72 : x
  2. Step 2: Convert to fraction form
    13,570.84/18,724.62 = 8,533.72/x
  3. Step 3: Cross multiply
    13,570.84x = 18,724.62 × 8,533.72
  4. Step 4: Simplify right side
    13,570.84x = 159,790,664.19
  5. Step 5: Solve for x
    x = 159,790,664.19/13,570.84
  6. Step 6: Final answer
    x = 11,774.56

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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.