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Finding the Fourth Proportional to 13,502.72, 18,633.71 and 7,534.32

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Solution

The fourth proportional to 13,502.72, 18,633.71 and 7,534.32 is: 10,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.72 : 18,633.71 = 7,534.32 : x
  2. Step 2: Convert to fraction form
    13,502.72/18,633.71 = 7,534.32/x
  3. Step 3: Cross multiply
    13,502.72x = 18,633.71 × 7,534.32
  4. Step 4: Simplify right side
    13,502.72x = 140,392,296.26
  5. Step 5: Solve for x
    x = 140,392,296.26/13,502.72
  6. Step 6: Final answer
    x = 10,397.34

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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.