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Finding the Fourth Proportional to 13,957.71, 19,261.17 and 7,669.95

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Solution

The fourth proportional to 13,957.71, 19,261.17 and 7,669.95 is: 10,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.71 : 19,261.17 = 7,669.95 : x
  2. Step 2: Convert to fraction form
    13,957.71/19,261.17 = 7,669.95/x
  3. Step 3: Cross multiply
    13,957.71x = 19,261.17 × 7,669.95
  4. Step 4: Simplify right side
    13,957.71x = 147,732,210.84
  5. Step 5: Solve for x
    x = 147,732,210.84/13,957.71
  6. Step 6: Final answer
    x = 10,584.27

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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.