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Finding the Fourth Proportional to 21,007.50, 31,509.51 and 6,962.94

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Solution

The fourth proportional to 21,007.50, 31,509.51 and 6,962.94 is: 10,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.50 : 31,509.51 = 6,962.94 : x
  2. Step 2: Convert to fraction form
    21,007.50/31,509.51 = 6,962.94/x
  3. Step 3: Cross multiply
    21,007.50x = 31,509.51 × 6,962.94
  4. Step 4: Simplify right side
    21,007.50x = 219,398,827.56
  5. Step 5: Solve for x
    x = 219,398,827.56/21,007.50
  6. Step 6: Final answer
    x = 10,443.83

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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.