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Finding the Fourth Proportional to 27,208.29, 40,804.68 and 10,564.76

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Solution

The fourth proportional to 27,208.29, 40,804.68 and 10,564.76 is: 15,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208.29 : 40,804.68 = 10,564.76 : x
  2. Step 2: Convert to fraction form
    27,208.29/40,804.68 = 10,564.76/x
  3. Step 3: Cross multiply
    27,208.29x = 40,804.68 × 10,564.76
  4. Step 4: Simplify right side
    27,208.29x = 431,091,792.71
  5. Step 5: Solve for x
    x = 431,091,792.71/27,208.29
  6. Step 6: Final answer
    x = 15,844.14

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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.