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Finding the Fourth Proportional to 13,254.50, 19,881.87 and 4,020.50

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Solution

The fourth proportional to 13,254.50, 19,881.87 and 4,020.50 is: 6,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.50 : 19,881.87 = 4,020.50 : x
  2. Step 2: Convert to fraction form
    13,254.50/19,881.87 = 4,020.50/x
  3. Step 3: Cross multiply
    13,254.50x = 19,881.87 × 4,020.50
  4. Step 4: Simplify right side
    13,254.50x = 79,935,058.34
  5. Step 5: Solve for x
    x = 79,935,058.34/13,254.50
  6. Step 6: Final answer
    x = 6,030.79

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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.