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Finding the Fourth Proportional to 22,924.99, 31,637.79 and 12,856.66

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Solution

The fourth proportional to 22,924.99, 31,637.79 and 12,856.66 is: 17,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,924.99 : 31,637.79 = 12,856.66 : x
  2. Step 2: Convert to fraction form
    22,924.99/31,637.79 = 12,856.66/x
  3. Step 3: Cross multiply
    22,924.99x = 31,637.79 × 12,856.66
  4. Step 4: Simplify right side
    22,924.99x = 406,756,230.09
  5. Step 5: Solve for x
    x = 406,756,230.09/22,924.99
  6. Step 6: Final answer
    x = 17,742.92

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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.