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Finding the Fourth Proportional to 27,574.90, 38,051.17 and 15,640.16

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Solution

The fourth proportional to 27,574.90, 38,051.17 and 15,640.16 is: 21,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.90 : 38,051.17 = 15,640.16 : x
  2. Step 2: Convert to fraction form
    27,574.90/38,051.17 = 15,640.16/x
  3. Step 3: Cross multiply
    27,574.90x = 38,051.17 × 15,640.16
  4. Step 4: Simplify right side
    27,574.90x = 595,126,157.63
  5. Step 5: Solve for x
    x = 595,126,157.63/27,574.90
  6. Step 6: Final answer
    x = 21,582.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.