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Finding the Fourth Proportional to 16,159.50, 24,239.25 and 6,925.50

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Solution

The fourth proportional to 16,159.50, 24,239.25 and 6,925.50 is: 10,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.50 : 24,239.25 = 6,925.50 : x
  2. Step 2: Convert to fraction form
    16,159.50/24,239.25 = 6,925.50/x
  3. Step 3: Cross multiply
    16,159.50x = 24,239.25 × 6,925.50
  4. Step 4: Simplify right side
    16,159.50x = 167,868,925.88
  5. Step 5: Solve for x
    x = 167,868,925.88/16,159.50
  6. Step 6: Final answer
    x = 10,388.25

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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.