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Finding the Fourth Proportional to 14,407.65, 21,614.04 and 4,919.46

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Solution

The fourth proportional to 14,407.65, 21,614.04 and 4,919.46 is: 7,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.65 : 21,614.04 = 4,919.46 : x
  2. Step 2: Convert to fraction form
    14,407.65/21,614.04 = 4,919.46/x
  3. Step 3: Cross multiply
    14,407.65x = 21,614.04 × 4,919.46
  4. Step 4: Simplify right side
    14,407.65x = 106,329,405.22
  5. Step 5: Solve for x
    x = 106,329,405.22/14,407.65
  6. Step 6: Final answer
    x = 7,380.07

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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.