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Finding the Fourth Proportional to 29,509.60, 44,260.35 and 9,786.10

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Solution

The fourth proportional to 29,509.60, 44,260.35 and 9,786.10 is: 14,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.60 : 44,260.35 = 9,786.10 : x
  2. Step 2: Convert to fraction form
    29,509.60/44,260.35 = 9,786.10/x
  3. Step 3: Cross multiply
    29,509.60x = 44,260.35 × 9,786.10
  4. Step 4: Simplify right side
    29,509.60x = 433,136,211.14
  5. Step 5: Solve for x
    x = 433,136,211.14/29,509.60
  6. Step 6: Final answer
    x = 14,677.81

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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.