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Finding the Fourth Proportional to 14,240.84, 21,360.54 and 5,006.12

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Solution

The fourth proportional to 14,240.84, 21,360.54 and 5,006.12 is: 7,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.84 : 21,360.54 = 5,006.12 : x
  2. Step 2: Convert to fraction form
    14,240.84/21,360.54 = 5,006.12/x
  3. Step 3: Cross multiply
    14,240.84x = 21,360.54 × 5,006.12
  4. Step 4: Simplify right side
    14,240.84x = 106,933,426.50
  5. Step 5: Solve for x
    x = 106,933,426.50/14,240.84
  6. Step 6: Final answer
    x = 7,508.93

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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.