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Finding the Fourth Proportional to 23,313.69, 32,172.03 and 12,703.14

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Solution

The fourth proportional to 23,313.69, 32,172.03 and 12,703.14 is: 17,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,313.69 : 32,172.03 = 12,703.14 : x
  2. Step 2: Convert to fraction form
    23,313.69/32,172.03 = 12,703.14/x
  3. Step 3: Cross multiply
    23,313.69x = 32,172.03 × 12,703.14
  4. Step 4: Simplify right side
    23,313.69x = 408,685,801.17
  5. Step 5: Solve for x
    x = 408,685,801.17/23,313.69
  6. Step 6: Final answer
    x = 17,529.86

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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.