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Finding the Fourth Proportional to 27,266.30, 40,899.46 and 8,547.81

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Solution

The fourth proportional to 27,266.30, 40,899.46 and 8,547.81 is: 12,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266.30 : 40,899.46 = 8,547.81 : x
  2. Step 2: Convert to fraction form
    27,266.30/40,899.46 = 8,547.81/x
  3. Step 3: Cross multiply
    27,266.30x = 40,899.46 × 8,547.81
  4. Step 4: Simplify right side
    27,266.30x = 349,600,587.32
  5. Step 5: Solve for x
    x = 349,600,587.32/27,266.30
  6. Step 6: Final answer
    x = 12,821.71

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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.