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Finding the Fourth Proportional to 27,681.84, 41,537.34 and 12,110.40

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Solution

The fourth proportional to 27,681.84, 41,537.34 and 12,110.40 is: 18,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.84 : 41,537.34 = 12,110.40 : x
  2. Step 2: Convert to fraction form
    27,681.84/41,537.34 = 12,110.40/x
  3. Step 3: Cross multiply
    27,681.84x = 41,537.34 × 12,110.40
  4. Step 4: Simplify right side
    27,681.84x = 503,033,802.34
  5. Step 5: Solve for x
    x = 503,033,802.34/27,681.84
  6. Step 6: Final answer
    x = 18,171.98

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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.