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Finding the Fourth Proportional to 14,647.65, 21,964.84 and 4,649.51

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Solution

The fourth proportional to 14,647.65, 21,964.84 and 4,649.51 is: 6,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.65 : 21,964.84 = 4,649.51 : x
  2. Step 2: Convert to fraction form
    14,647.65/21,964.84 = 4,649.51/x
  3. Step 3: Cross multiply
    14,647.65x = 21,964.84 × 4,649.51
  4. Step 4: Simplify right side
    14,647.65x = 102,125,743.23
  5. Step 5: Solve for x
    x = 102,125,743.23/14,647.65
  6. Step 6: Final answer
    x = 6,972.16

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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.