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Finding the Fourth Proportional to 13,528.53, 18,652.27 and 8,740.38

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Solution

The fourth proportional to 13,528.53, 18,652.27 and 8,740.38 is: 12,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.53 : 18,652.27 = 8,740.38 : x
  2. Step 2: Convert to fraction form
    13,528.53/18,652.27 = 8,740.38/x
  3. Step 3: Cross multiply
    13,528.53x = 18,652.27 × 8,740.38
  4. Step 4: Simplify right side
    13,528.53x = 163,027,927.66
  5. Step 5: Solve for x
    x = 163,027,927.66/13,528.53
  6. Step 6: Final answer
    x = 12,050.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.