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Finding the Fourth Proportional to 14,006, 21,011.88 and 5,798

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Solution

The fourth proportional to 14,006, 21,011.88 and 5,798 is: 8,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006 : 21,011.88 = 5,798 : x
  2. Step 2: Convert to fraction form
    14,006/21,011.88 = 5,798/x
  3. Step 3: Cross multiply
    14,006x = 21,011.88 × 5,798
  4. Step 4: Simplify right side
    14,006x = 121,826,880.24
  5. Step 5: Solve for x
    x = 121,826,880.24/14,006
  6. Step 6: Final answer
    x = 8,698.19

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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.