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Finding the Fourth Proportional to 23,337.70, 32,206.89 and 13,907.14

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Solution

The fourth proportional to 23,337.70, 32,206.89 and 13,907.14 is: 19,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,337.70 : 32,206.89 = 13,907.14 : x
  2. Step 2: Convert to fraction form
    23,337.70/32,206.89 = 13,907.14/x
  3. Step 3: Cross multiply
    23,337.70x = 32,206.89 × 13,907.14
  4. Step 4: Simplify right side
    23,337.70x = 447,905,728.19
  5. Step 5: Solve for x
    x = 447,905,728.19/23,337.70
  6. Step 6: Final answer
    x = 19,192.37

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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.