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Finding the Fourth Proportional to 13,407.03, 18,502.29 and 7,438.77

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Solution

The fourth proportional to 13,407.03, 18,502.29 and 7,438.77 is: 10,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.03 : 18,502.29 = 7,438.77 : x
  2. Step 2: Convert to fraction form
    13,407.03/18,502.29 = 7,438.77/x
  3. Step 3: Cross multiply
    13,407.03x = 18,502.29 × 7,438.77
  4. Step 4: Simplify right side
    13,407.03x = 137,634,279.78
  5. Step 5: Solve for x
    x = 137,634,279.78/13,407.03
  6. Step 6: Final answer
    x = 10,265.83

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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.