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Finding the Fourth Proportional to 27,271.68, 37,653.12 and 16,097.28

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Solution

The fourth proportional to 27,271.68, 37,653.12 and 16,097.28 is: 22,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271.68 : 37,653.12 = 16,097.28 : x
  2. Step 2: Convert to fraction form
    27,271.68/37,653.12 = 16,097.28/x
  3. Step 3: Cross multiply
    27,271.68x = 37,653.12 × 16,097.28
  4. Step 4: Simplify right side
    27,271.68x = 606,112,815.51
  5. Step 5: Solve for x
    x = 606,112,815.51/27,271.68
  6. Step 6: Final answer
    x = 22,224.99

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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.