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Finding the Fourth Proportional to 14,032.13, 21,042 and 5,260.91

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Solution

The fourth proportional to 14,032.13, 21,042 and 5,260.91 is: 7,889.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.13 : 21,042 = 5,260.91 : x
  2. Step 2: Convert to fraction form
    14,032.13/21,042 = 5,260.91/x
  3. Step 3: Cross multiply
    14,032.13x = 21,042 × 5,260.91
  4. Step 4: Simplify right side
    14,032.13x = 110,699,963.01
  5. Step 5: Solve for x
    x = 110,699,963.01/14,032.13
  6. Step 6: Final answer
    x = 7,889.04

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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.