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Finding the Fourth Proportional to 27,565, 38,042.52 and 16,238.06

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Solution

The fourth proportional to 27,565, 38,042.52 and 16,238.06 is: 22,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565 : 38,042.52 = 16,238.06 : x
  2. Step 2: Convert to fraction form
    27,565/38,042.52 = 16,238.06/x
  3. Step 3: Cross multiply
    27,565x = 38,042.52 × 16,238.06
  4. Step 4: Simplify right side
    27,565x = 617,736,722.31
  5. Step 5: Solve for x
    x = 617,736,722.31/27,565
  6. Step 6: Final answer
    x = 22,410.18

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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.