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Finding the Fourth Proportional to 16,457.34, 24,686.00 and 5,364.02

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Solution

The fourth proportional to 16,457.34, 24,686.00 and 5,364.02 is: 8,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.34 : 24,686.00 = 5,364.02 : x
  2. Step 2: Convert to fraction form
    16,457.34/24,686.00 = 5,364.02/x
  3. Step 3: Cross multiply
    16,457.34x = 24,686.00 × 5,364.02
  4. Step 4: Simplify right side
    16,457.34x = 132,416,252.73
  5. Step 5: Solve for x
    x = 132,416,252.73/16,457.34
  6. Step 6: Final answer
    x = 8,046.03

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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.