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Finding the Fourth Proportional to 27,409.68, 37,824.60 and 15,309.84

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Solution

The fourth proportional to 27,409.68, 37,824.60 and 15,309.84 is: 21,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.68 : 37,824.60 = 15,309.84 : x
  2. Step 2: Convert to fraction form
    27,409.68/37,824.60 = 15,309.84/x
  3. Step 3: Cross multiply
    27,409.68x = 37,824.60 × 15,309.84
  4. Step 4: Simplify right side
    27,409.68x = 579,088,574.06
  5. Step 5: Solve for x
    x = 579,088,574.06/27,409.68
  6. Step 6: Final answer
    x = 21,127.16

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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.