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Finding the Fourth Proportional to 27,583.50, 38,066.04 and 15,009.06

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Solution

The fourth proportional to 27,583.50, 38,066.04 and 15,009.06 is: 20,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583.50 : 38,066.04 = 15,009.06 : x
  2. Step 2: Convert to fraction form
    27,583.50/38,066.04 = 15,009.06/x
  3. Step 3: Cross multiply
    27,583.50x = 38,066.04 × 15,009.06
  4. Step 4: Simplify right side
    27,583.50x = 571,335,478.32
  5. Step 5: Solve for x
    x = 571,335,478.32/27,583.50
  6. Step 6: Final answer
    x = 20,712.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.