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Finding the Fourth Proportional to 12,027.10, 16,592.24 and 7,547.80

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Solution

The fourth proportional to 12,027.10, 16,592.24 and 7,547.80 is: 10,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.10 : 16,592.24 = 7,547.80 : x
  2. Step 2: Convert to fraction form
    12,027.10/16,592.24 = 7,547.80/x
  3. Step 3: Cross multiply
    12,027.10x = 16,592.24 × 7,547.80
  4. Step 4: Simplify right side
    12,027.10x = 125,234,909.07
  5. Step 5: Solve for x
    x = 125,234,909.07/12,027.10
  6. Step 6: Final answer
    x = 10,412.73

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