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Finding the Fourth Proportional to 14,409.10, 21,614.70 and 5,048.08

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Solution

The fourth proportional to 14,409.10, 21,614.70 and 5,048.08 is: 7,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.10 : 21,614.70 = 5,048.08 : x
  2. Step 2: Convert to fraction form
    14,409.10/21,614.70 = 5,048.08/x
  3. Step 3: Cross multiply
    14,409.10x = 21,614.70 × 5,048.08
  4. Step 4: Simplify right side
    14,409.10x = 109,112,734.78
  5. Step 5: Solve for x
    x = 109,112,734.78/14,409.10
  6. Step 6: Final answer
    x = 7,572.49

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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.