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Finding the Fourth Proportional to 13,528.74, 18,671.04 and 8,223.96

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Solution

The fourth proportional to 13,528.74, 18,671.04 and 8,223.96 is: 11,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.74 : 18,671.04 = 8,223.96 : x
  2. Step 2: Convert to fraction form
    13,528.74/18,671.04 = 8,223.96/x
  3. Step 3: Cross multiply
    13,528.74x = 18,671.04 × 8,223.96
  4. Step 4: Simplify right side
    13,528.74x = 153,549,886.12
  5. Step 5: Solve for x
    x = 153,549,886.12/13,528.74
  6. Step 6: Final answer
    x = 11,349.90

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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.