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Finding the Fourth Proportional to 16,254, 24,369.80 and 6,394.41

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Solution

The fourth proportional to 16,254, 24,369.80 and 6,394.41 is: 9,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254 : 24,369.80 = 6,394.41 : x
  2. Step 2: Convert to fraction form
    16,254/24,369.80 = 6,394.41/x
  3. Step 3: Cross multiply
    16,254x = 24,369.80 × 6,394.41
  4. Step 4: Simplify right side
    16,254x = 155,830,460.85
  5. Step 5: Solve for x
    x = 155,830,460.85/16,254
  6. Step 6: Final answer
    x = 9,587.21

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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.