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Finding the Fourth Proportional to 27,564.84, 41,341.73 and 13,518.77

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Solution

The fourth proportional to 27,564.84, 41,341.73 and 13,518.77 is: 20,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.84 : 41,341.73 = 13,518.77 : x
  2. Step 2: Convert to fraction form
    27,564.84/41,341.73 = 13,518.77/x
  3. Step 3: Cross multiply
    27,564.84x = 41,341.73 × 13,518.77
  4. Step 4: Simplify right side
    27,564.84x = 558,889,064.97
  5. Step 5: Solve for x
    x = 558,889,064.97/27,564.84
  6. Step 6: Final answer
    x = 20,275.43

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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.