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Finding the Fourth Proportional to 21,007.35, 31,509.90 and 7,858.62

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Solution

The fourth proportional to 21,007.35, 31,509.90 and 7,858.62 is: 11,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.35 : 31,509.90 = 7,858.62 : x
  2. Step 2: Convert to fraction form
    21,007.35/31,509.90 = 7,858.62/x
  3. Step 3: Cross multiply
    21,007.35x = 31,509.90 × 7,858.62
  4. Step 4: Simplify right side
    21,007.35x = 247,624,330.34
  5. Step 5: Solve for x
    x = 247,624,330.34/21,007.35
  6. Step 6: Final answer
    x = 11,787.51

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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.