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Finding the Fourth Proportional to 13,051.78, 19,534.34 and 11,884.47

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Solution

The fourth proportional to 13,051.78, 19,534.34 and 11,884.47 is: 17,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.78 : 19,534.34 = 11,884.47 : x
  2. Step 2: Convert to fraction form
    13,051.78/19,534.34 = 11,884.47/x
  3. Step 3: Cross multiply
    13,051.78x = 19,534.34 × 11,884.47
  4. Step 4: Simplify right side
    13,051.78x = 232,155,277.70
  5. Step 5: Solve for x
    x = 232,155,277.70/13,051.78
  6. Step 6: Final answer
    x = 17,787.25

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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.