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Finding the Fourth Proportional to 19,900, 29,827.86 and 10,048.24

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Solution

The fourth proportional to 19,900, 29,827.86 and 10,048.24 is: 15,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900 : 29,827.86 = 10,048.24 : x
  2. Step 2: Convert to fraction form
    19,900/29,827.86 = 10,048.24/x
  3. Step 3: Cross multiply
    19,900x = 29,827.86 × 10,048.24
  4. Step 4: Simplify right side
    19,900x = 299,717,495.97
  5. Step 5: Solve for x
    x = 299,717,495.97/19,900
  6. Step 6: Final answer
    x = 15,061.18

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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.