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Finding the Fourth Proportional to 13,502.58, 18,633.52 and 7,534.20

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Solution

The fourth proportional to 13,502.58, 18,633.52 and 7,534.20 is: 10,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.58 : 18,633.52 = 7,534.20 : x
  2. Step 2: Convert to fraction form
    13,502.58/18,633.52 = 7,534.20/x
  3. Step 3: Cross multiply
    13,502.58x = 18,633.52 × 7,534.20
  4. Step 4: Simplify right side
    13,502.58x = 140,388,666.38
  5. Step 5: Solve for x
    x = 140,388,666.38/13,502.58
  6. Step 6: Final answer
    x = 10,397.17

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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.