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Finding the Fourth Proportional to 29,217, 43,803.63 and 9,483.78

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Solution

The fourth proportional to 29,217, 43,803.63 and 9,483.78 is: 14,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,217 : 43,803.63 = 9,483.78 : x
  2. Step 2: Convert to fraction form
    29,217/43,803.63 = 9,483.78/x
  3. Step 3: Cross multiply
    29,217x = 43,803.63 × 9,483.78
  4. Step 4: Simplify right side
    29,217x = 415,423,990.12
  5. Step 5: Solve for x
    x = 415,423,990.12/29,217
  6. Step 6: Final answer
    x = 14,218.57

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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.