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Finding the Fourth Proportional to 12,888.49, 19,293.82 and 11,656.48

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Solution

The fourth proportional to 12,888.49, 19,293.82 and 11,656.48 is: 17,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.49 : 19,293.82 = 11,656.48 : x
  2. Step 2: Convert to fraction form
    12,888.49/19,293.82 = 11,656.48/x
  3. Step 3: Cross multiply
    12,888.49x = 19,293.82 × 11,656.48
  4. Step 4: Simplify right side
    12,888.49x = 224,897,949.58
  5. Step 5: Solve for x
    x = 224,897,949.58/12,888.49
  6. Step 6: Final answer
    x = 17,449.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.