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Finding the Fourth Proportional to 19,741.56, 29,627.88 and 9,206.16

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Solution

The fourth proportional to 19,741.56, 29,627.88 and 9,206.16 is: 13,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,741.56 : 29,627.88 = 9,206.16 : x
  2. Step 2: Convert to fraction form
    19,741.56/29,627.88 = 9,206.16/x
  3. Step 3: Cross multiply
    19,741.56x = 29,627.88 × 9,206.16
  4. Step 4: Simplify right side
    19,741.56x = 272,759,003.74
  5. Step 5: Solve for x
    x = 272,759,003.74/19,741.56
  6. Step 6: Final answer
    x = 13,816.49

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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.