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Finding the Fourth Proportional to 13,922.21, 19,212.71 and 7,548.78

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Solution

The fourth proportional to 13,922.21, 19,212.71 and 7,548.78 is: 10,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.21 : 19,212.71 = 7,548.78 : x
  2. Step 2: Convert to fraction form
    13,922.21/19,212.71 = 7,548.78/x
  3. Step 3: Cross multiply
    13,922.21x = 19,212.71 × 7,548.78
  4. Step 4: Simplify right side
    13,922.21x = 145,032,555.30
  5. Step 5: Solve for x
    x = 145,032,555.30/13,922.21
  6. Step 6: Final answer
    x = 10,417.35

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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.