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Finding the Fourth Proportional to 27,140, 37,455.36 and 15,964.16

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Solution

The fourth proportional to 27,140, 37,455.36 and 15,964.16 is: 22,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140 : 37,455.36 = 15,964.16 : x
  2. Step 2: Convert to fraction form
    27,140/37,455.36 = 15,964.16/x
  3. Step 3: Cross multiply
    27,140x = 37,455.36 × 15,964.16
  4. Step 4: Simplify right side
    27,140x = 597,943,359.90
  5. Step 5: Solve for x
    x = 597,943,359.90/27,140
  6. Step 6: Final answer
    x = 22,031.81

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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.