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Finding the Fourth Proportional to 21,007.68, 31,509.60 and 12,237.12

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Solution

The fourth proportional to 21,007.68, 31,509.60 and 12,237.12 is: 18,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.68 : 31,509.60 = 12,237.12 : x
  2. Step 2: Convert to fraction form
    21,007.68/31,509.60 = 12,237.12/x
  3. Step 3: Cross multiply
    21,007.68x = 31,509.60 × 12,237.12
  4. Step 4: Simplify right side
    21,007.68x = 385,586,756.35
  5. Step 5: Solve for x
    x = 385,586,756.35/21,007.68
  6. Step 6: Final answer
    x = 18,354.56

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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.