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Finding the Fourth Proportional to 13,166.84, 19,737.18 and 5,381.24

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Solution

The fourth proportional to 13,166.84, 19,737.18 and 5,381.24 is: 8,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.84 : 19,737.18 = 5,381.24 : x
  2. Step 2: Convert to fraction form
    13,166.84/19,737.18 = 5,381.24/x
  3. Step 3: Cross multiply
    13,166.84x = 19,737.18 × 5,381.24
  4. Step 4: Simplify right side
    13,166.84x = 106,210,502.50
  5. Step 5: Solve for x
    x = 106,210,502.50/13,166.84
  6. Step 6: Final answer
    x = 8,066.51

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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.