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Finding the Fourth Proportional to 27,429.84, 41,144.76 and 7,710.39

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Solution

The fourth proportional to 27,429.84, 41,144.76 and 7,710.39 is: 11,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.84 : 41,144.76 = 7,710.39 : x
  2. Step 2: Convert to fraction form
    27,429.84/41,144.76 = 7,710.39/x
  3. Step 3: Cross multiply
    27,429.84x = 41,144.76 × 7,710.39
  4. Step 4: Simplify right side
    27,429.84x = 317,242,146.06
  5. Step 5: Solve for x
    x = 317,242,146.06/27,429.84
  6. Step 6: Final answer
    x = 11,565.59

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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.