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Finding the Fourth Proportional to 14,430.97, 21,648.62 and 5,072.10

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Solution

The fourth proportional to 14,430.97, 21,648.62 and 5,072.10 is: 7,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.97 : 21,648.62 = 5,072.10 : x
  2. Step 2: Convert to fraction form
    14,430.97/21,648.62 = 5,072.10/x
  3. Step 3: Cross multiply
    14,430.97x = 21,648.62 × 5,072.10
  4. Step 4: Simplify right side
    14,430.97x = 109,803,965.50
  5. Step 5: Solve for x
    x = 109,803,965.50/14,430.97
  6. Step 6: Final answer
    x = 7,608.91

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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.