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Finding the Fourth Proportional to 14,405.10, 21,608.70 and 5,044.08

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Solution

The fourth proportional to 14,405.10, 21,608.70 and 5,044.08 is: 7,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.10 : 21,608.70 = 5,044.08 : x
  2. Step 2: Convert to fraction form
    14,405.10/21,608.70 = 5,044.08/x
  3. Step 3: Cross multiply
    14,405.10x = 21,608.70 × 5,044.08
  4. Step 4: Simplify right side
    14,405.10x = 108,996,011.50
  5. Step 5: Solve for x
    x = 108,996,011.50/14,405.10
  6. Step 6: Final answer
    x = 7,566.49

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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.