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Finding the Fourth Proportional to 13,713.33, 20,565.77 and 7,135.93

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Solution

The fourth proportional to 13,713.33, 20,565.77 and 7,135.93 is: 10,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.33 : 20,565.77 = 7,135.93 : x
  2. Step 2: Convert to fraction form
    13,713.33/20,565.77 = 7,135.93/x
  3. Step 3: Cross multiply
    13,713.33x = 20,565.77 × 7,135.93
  4. Step 4: Simplify right side
    13,713.33x = 146,755,792.29
  5. Step 5: Solve for x
    x = 146,755,792.29/13,713.33
  6. Step 6: Final answer
    x = 10,701.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.