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Finding the Fourth Proportional to 27,431.40, 37,855.48 and 14,856.16

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Solution

The fourth proportional to 27,431.40, 37,855.48 and 14,856.16 is: 20,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.40 : 37,855.48 = 14,856.16 : x
  2. Step 2: Convert to fraction form
    27,431.40/37,855.48 = 14,856.16/x
  3. Step 3: Cross multiply
    27,431.40x = 37,855.48 × 14,856.16
  4. Step 4: Simplify right side
    27,431.40x = 562,387,067.76
  5. Step 5: Solve for x
    x = 562,387,067.76/27,431.40
  6. Step 6: Final answer
    x = 20,501.58

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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.