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Finding the Fourth Proportional to 13,957.68, 19,261.26 and 7,988.97

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Solution

The fourth proportional to 13,957.68, 19,261.26 and 7,988.97 is: 11,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.68 : 19,261.26 = 7,988.97 : x
  2. Step 2: Convert to fraction form
    13,957.68/19,261.26 = 7,988.97/x
  3. Step 3: Cross multiply
    13,957.68x = 19,261.26 × 7,988.97
  4. Step 4: Simplify right side
    13,957.68x = 153,877,628.30
  5. Step 5: Solve for x
    x = 153,877,628.30/13,957.68
  6. Step 6: Final answer
    x = 11,024.58

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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.