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Finding the Fourth Proportional to 24,705.46, 37,059.84 and 8,693.09

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Solution

The fourth proportional to 24,705.46, 37,059.84 and 8,693.09 is: 13,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.46 : 37,059.84 = 8,693.09 : x
  2. Step 2: Convert to fraction form
    24,705.46/37,059.84 = 8,693.09/x
  3. Step 3: Cross multiply
    24,705.46x = 37,059.84 × 8,693.09
  4. Step 4: Simplify right side
    24,705.46x = 322,164,490.41
  5. Step 5: Solve for x
    x = 322,164,490.41/24,705.46
  6. Step 6: Final answer
    x = 13,040.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.