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Finding the Fourth Proportional to 14,156.77, 21,216.84 and 5,827.36

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Solution

The fourth proportional to 14,156.77, 21,216.84 and 5,827.36 is: 8,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.77 : 21,216.84 = 5,827.36 : x
  2. Step 2: Convert to fraction form
    14,156.77/21,216.84 = 5,827.36/x
  3. Step 3: Cross multiply
    14,156.77x = 21,216.84 × 5,827.36
  4. Step 4: Simplify right side
    14,156.77x = 123,638,164.74
  5. Step 5: Solve for x
    x = 123,638,164.74/14,156.77
  6. Step 6: Final answer
    x = 8,733.50

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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.