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Finding the Fourth Proportional to 27,058.86, 37,341.18 and 15,735

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Solution

The fourth proportional to 27,058.86, 37,341.18 and 15,735 is: 21,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058.86 : 37,341.18 = 15,735 : x
  2. Step 2: Convert to fraction form
    27,058.86/37,341.18 = 15,735/x
  3. Step 3: Cross multiply
    27,058.86x = 37,341.18 × 15,735
  4. Step 4: Simplify right side
    27,058.86x = 587,563,467.30
  5. Step 5: Solve for x
    x = 587,563,467.30/27,058.86
  6. Step 6: Final answer
    x = 21,714.27

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