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Finding the Fourth Proportional to 16,600, 24,894.98 and 4,753.04

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Solution

The fourth proportional to 16,600, 24,894.98 and 4,753.04 is: 7,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600 : 24,894.98 = 4,753.04 : x
  2. Step 2: Convert to fraction form
    16,600/24,894.98 = 4,753.04/x
  3. Step 3: Cross multiply
    16,600x = 24,894.98 × 4,753.04
  4. Step 4: Simplify right side
    16,600x = 118,326,835.74
  5. Step 5: Solve for x
    x = 118,326,835.74/16,600
  6. Step 6: Final answer
    x = 7,128.12

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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.