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Finding the Fourth Proportional to 27,673.68, 41,510.16 and 6,897.36

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Solution

The fourth proportional to 27,673.68, 41,510.16 and 6,897.36 is: 10,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,673.68 : 41,510.16 = 6,897.36 : x
  2. Step 2: Convert to fraction form
    27,673.68/41,510.16 = 6,897.36/x
  3. Step 3: Cross multiply
    27,673.68x = 41,510.16 × 6,897.36
  4. Step 4: Simplify right side
    27,673.68x = 286,310,517.18
  5. Step 5: Solve for x
    x = 286,310,517.18/27,673.68
  6. Step 6: Final answer
    x = 10,345.95

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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.