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Finding the Fourth Proportional to 27,686.49, 41,530.40 and 9,918.38

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Solution

The fourth proportional to 27,686.49, 41,530.40 and 9,918.38 is: 14,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.49 : 41,530.40 = 9,918.38 : x
  2. Step 2: Convert to fraction form
    27,686.49/41,530.40 = 9,918.38/x
  3. Step 3: Cross multiply
    27,686.49x = 41,530.40 × 9,918.38
  4. Step 4: Simplify right side
    27,686.49x = 411,914,031.51
  5. Step 5: Solve for x
    x = 411,914,031.51/27,686.49
  6. Step 6: Final answer
    x = 14,877.80

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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.