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Finding the Fourth Proportional to 29,594.16, 44,374.86 and 9,861.96

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Solution

The fourth proportional to 29,594.16, 44,374.86 and 9,861.96 is: 14,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594.16 : 44,374.86 = 9,861.96 : x
  2. Step 2: Convert to fraction form
    29,594.16/44,374.86 = 9,861.96/x
  3. Step 3: Cross multiply
    29,594.16x = 44,374.86 × 9,861.96
  4. Step 4: Simplify right side
    29,594.16x = 437,623,094.33
  5. Step 5: Solve for x
    x = 437,623,094.33/29,594.16
  6. Step 6: Final answer
    x = 14,787.48

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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.