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Finding the Fourth Proportional to 13,130.57, 19,689.93 and 3,768.46

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Solution

The fourth proportional to 13,130.57, 19,689.93 and 3,768.46 is: 5,650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.57 : 19,689.93 = 3,768.46 : x
  2. Step 2: Convert to fraction form
    13,130.57/19,689.93 = 3,768.46/x
  3. Step 3: Cross multiply
    13,130.57x = 19,689.93 × 3,768.46
  4. Step 4: Simplify right side
    13,130.57x = 74,200,694.77
  5. Step 5: Solve for x
    x = 74,200,694.77/13,130.57
  6. Step 6: Final answer
    x = 5,650.99

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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.