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Finding the Fourth Proportional to 31,368.16, 43,288.02 and 17,221

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Solution

The fourth proportional to 31,368.16, 43,288.02 and 17,221 is: 23,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,368.16 : 43,288.02 = 17,221 : x
  2. Step 2: Convert to fraction form
    31,368.16/43,288.02 = 17,221/x
  3. Step 3: Cross multiply
    31,368.16x = 43,288.02 × 17,221
  4. Step 4: Simplify right side
    31,368.16x = 745,462,992.42
  5. Step 5: Solve for x
    x = 745,462,992.42/31,368.16
  6. Step 6: Final answer
    x = 23,764.96

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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.