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Finding the Fourth Proportional to 22,931.54, 31,651.16 and 13,983.98

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Solution

The fourth proportional to 22,931.54, 31,651.16 and 13,983.98 is: 19,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.54 : 31,651.16 = 13,983.98 : x
  2. Step 2: Convert to fraction form
    22,931.54/31,651.16 = 13,983.98/x
  3. Step 3: Cross multiply
    22,931.54x = 31,651.16 × 13,983.98
  4. Step 4: Simplify right side
    22,931.54x = 442,609,188.42
  5. Step 5: Solve for x
    x = 442,609,188.42/22,931.54
  6. Step 6: Final answer
    x = 19,301.33

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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.