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Finding the Fourth Proportional to 13,785.72, 20,686.68 and 5,021.16

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Solution

The fourth proportional to 13,785.72, 20,686.68 and 5,021.16 is: 7,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.72 : 20,686.68 = 5,021.16 : x
  2. Step 2: Convert to fraction form
    13,785.72/20,686.68 = 5,021.16/x
  3. Step 3: Cross multiply
    13,785.72x = 20,686.68 × 5,021.16
  4. Step 4: Simplify right side
    13,785.72x = 103,871,130.15
  5. Step 5: Solve for x
    x = 103,871,130.15/13,785.72
  6. Step 6: Final answer
    x = 7,534.69

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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.