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Finding the Fourth Proportional to 21,152.70, 31,707.45 and 12,383.10

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Solution

The fourth proportional to 21,152.70, 31,707.45 and 12,383.10 is: 18,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.70 : 31,707.45 = 12,383.10 : x
  2. Step 2: Convert to fraction form
    21,152.70/31,707.45 = 12,383.10/x
  3. Step 3: Cross multiply
    21,152.70x = 31,707.45 × 12,383.10
  4. Step 4: Simplify right side
    21,152.70x = 392,636,524.10
  5. Step 5: Solve for x
    x = 392,636,524.10/21,152.70
  6. Step 6: Final answer
    x = 18,562.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.