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Finding the Fourth Proportional to 27,543.84, 41,315.40 and 6,767.52

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Solution

The fourth proportional to 27,543.84, 41,315.40 and 6,767.52 is: 10,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.84 : 41,315.40 = 6,767.52 : x
  2. Step 2: Convert to fraction form
    27,543.84/41,315.40 = 6,767.52/x
  3. Step 3: Cross multiply
    27,543.84x = 41,315.40 × 6,767.52
  4. Step 4: Simplify right side
    27,543.84x = 279,602,795.81
  5. Step 5: Solve for x
    x = 279,602,795.81/27,543.84
  6. Step 6: Final answer
    x = 10,151.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.