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Finding the Fourth Proportional to 16,066.58, 24,095.01 and 9,491

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Solution

The fourth proportional to 16,066.58, 24,095.01 and 9,491 is: 14,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,066.58 : 24,095.01 = 9,491 : x
  2. Step 2: Convert to fraction form
    16,066.58/24,095.01 = 9,491/x
  3. Step 3: Cross multiply
    16,066.58x = 24,095.01 × 9,491
  4. Step 4: Simplify right side
    16,066.58x = 228,685,739.91
  5. Step 5: Solve for x
    x = 228,685,739.91/16,066.58
  6. Step 6: Final answer
    x = 14,233.63

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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.