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Finding the Fourth Proportional to 13,954.96, 19,258.19 and 7,988.55

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Solution

The fourth proportional to 13,954.96, 19,258.19 and 7,988.55 is: 11,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.96 : 19,258.19 = 7,988.55 : x
  2. Step 2: Convert to fraction form
    13,954.96/19,258.19 = 7,988.55/x
  3. Step 3: Cross multiply
    13,954.96x = 19,258.19 × 7,988.55
  4. Step 4: Simplify right side
    13,954.96x = 153,844,973.78
  5. Step 5: Solve for x
    x = 153,844,973.78/13,954.96
  6. Step 6: Final answer
    x = 11,024.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.