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Finding the Fourth Proportional to 22,523.70, 31,083.58 and 14,956.98

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Solution

The fourth proportional to 22,523.70, 31,083.58 and 14,956.98 is: 20,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.70 : 31,083.58 = 14,956.98 : x
  2. Step 2: Convert to fraction form
    22,523.70/31,083.58 = 14,956.98/x
  3. Step 3: Cross multiply
    22,523.70x = 31,083.58 × 14,956.98
  4. Step 4: Simplify right side
    22,523.70x = 464,916,484.39
  5. Step 5: Solve for x
    x = 464,916,484.39/22,523.70
  6. Step 6: Final answer
    x = 20,641.21

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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.