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Finding the Fourth Proportional to 13,957.95, 19,261.75 and 7,670.19

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Solution

The fourth proportional to 13,957.95, 19,261.75 and 7,670.19 is: 10,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.95 : 19,261.75 = 7,670.19 : x
  2. Step 2: Convert to fraction form
    13,957.95/19,261.75 = 7,670.19/x
  3. Step 3: Cross multiply
    13,957.95x = 19,261.75 × 7,670.19
  4. Step 4: Simplify right side
    13,957.95x = 147,741,282.23
  5. Step 5: Solve for x
    x = 147,741,282.23/13,957.95
  6. Step 6: Final answer
    x = 10,584.74

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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.