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Finding the Fourth Proportional to 13,122.88, 19,681.76 and 3,888.96

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Solution

The fourth proportional to 13,122.88, 19,681.76 and 3,888.96 is: 5,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.88 : 19,681.76 = 3,888.96 : x
  2. Step 2: Convert to fraction form
    13,122.88/19,681.76 = 3,888.96/x
  3. Step 3: Cross multiply
    13,122.88x = 19,681.76 × 3,888.96
  4. Step 4: Simplify right side
    13,122.88x = 76,541,577.37
  5. Step 5: Solve for x
    x = 76,541,577.37/13,122.88
  6. Step 6: Final answer
    x = 5,832.68

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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.