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Finding the Fourth Proportional to 13,266.74, 19,902.99 and 4,032.50

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Solution

The fourth proportional to 13,266.74, 19,902.99 and 4,032.50 is: 6,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.74 : 19,902.99 = 4,032.50 : x
  2. Step 2: Convert to fraction form
    13,266.74/19,902.99 = 4,032.50/x
  3. Step 3: Cross multiply
    13,266.74x = 19,902.99 × 4,032.50
  4. Step 4: Simplify right side
    13,266.74x = 80,258,807.18
  5. Step 5: Solve for x
    x = 80,258,807.18/13,266.74
  6. Step 6: Final answer
    x = 6,049.63

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Why These Related Problems?

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