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Finding the Fourth Proportional to 27,740.34, 41,606.06 and 10,206

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Solution

The fourth proportional to 27,740.34, 41,606.06 and 10,206 is: 15,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.34 : 41,606.06 = 10,206 : x
  2. Step 2: Convert to fraction form
    27,740.34/41,606.06 = 10,206/x
  3. Step 3: Cross multiply
    27,740.34x = 41,606.06 × 10,206
  4. Step 4: Simplify right side
    27,740.34x = 424,631,397.33
  5. Step 5: Solve for x
    x = 424,631,397.33/27,740.34
  6. Step 6: Final answer
    x = 15,307.36

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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.