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Finding the Fourth Proportional to 16,094.76, 24,141.06 and 4,407

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Solution

The fourth proportional to 16,094.76, 24,141.06 and 4,407 is: 6,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.76 : 24,141.06 = 4,407 : x
  2. Step 2: Convert to fraction form
    16,094.76/24,141.06 = 4,407/x
  3. Step 3: Cross multiply
    16,094.76x = 24,141.06 × 4,407
  4. Step 4: Simplify right side
    16,094.76x = 106,389,651.42
  5. Step 5: Solve for x
    x = 106,389,651.42/16,094.76
  6. Step 6: Final answer
    x = 6,610.20

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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.