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Finding the Fourth Proportional to 12,259.32, 16,898.66 and 8,008.25

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Solution

The fourth proportional to 12,259.32, 16,898.66 and 8,008.25 is: 11,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.32 : 16,898.66 = 8,008.25 : x
  2. Step 2: Convert to fraction form
    12,259.32/16,898.66 = 8,008.25/x
  3. Step 3: Cross multiply
    12,259.32x = 16,898.66 × 8,008.25
  4. Step 4: Simplify right side
    12,259.32x = 135,328,609.45
  5. Step 5: Solve for x
    x = 135,328,609.45/12,259.32
  6. Step 6: Final answer
    x = 11,038.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.