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Finding the Fourth Proportional to 13,782.42, 20,661.32 and 5,011.16

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Solution

The fourth proportional to 13,782.42, 20,661.32 and 5,011.16 is: 7,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.42 : 20,661.32 = 5,011.16 : x
  2. Step 2: Convert to fraction form
    13,782.42/20,661.32 = 5,011.16/x
  3. Step 3: Cross multiply
    13,782.42x = 20,661.32 × 5,011.16
  4. Step 4: Simplify right side
    13,782.42x = 103,537,051.97
  5. Step 5: Solve for x
    x = 103,537,051.97/13,782.42
  6. Step 6: Final answer
    x = 7,512.25

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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.