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Finding the Fourth Proportional to 13,957.96, 19,261.76 and 7,670.20

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Solution

The fourth proportional to 13,957.96, 19,261.76 and 7,670.20 is: 10,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.96 : 19,261.76 = 7,670.20 : x
  2. Step 2: Convert to fraction form
    13,957.96/19,261.76 = 7,670.20/x
  3. Step 3: Cross multiply
    13,957.96x = 19,261.76 × 7,670.20
  4. Step 4: Simplify right side
    13,957.96x = 147,741,551.55
  5. Step 5: Solve for x
    x = 147,741,551.55/13,957.96
  6. Step 6: Final answer
    x = 10,584.75

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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.