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Finding the Fourth Proportional to 14,696.24, 22,045.77 and 4,833.14

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Solution

The fourth proportional to 14,696.24, 22,045.77 and 4,833.14 is: 7,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.24 : 22,045.77 = 4,833.14 : x
  2. Step 2: Convert to fraction form
    14,696.24/22,045.77 = 4,833.14/x
  3. Step 3: Cross multiply
    14,696.24x = 22,045.77 × 4,833.14
  4. Step 4: Simplify right side
    14,696.24x = 106,550,182.59
  5. Step 5: Solve for x
    x = 106,550,182.59/14,696.24
  6. Step 6: Final answer
    x = 7,250.17

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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.