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Finding the Fourth Proportional to 27,823.66, 38,409.95 and 15,884.69

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Solution

The fourth proportional to 27,823.66, 38,409.95 and 15,884.69 is: 21,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.66 : 38,409.95 = 15,884.69 : x
  2. Step 2: Convert to fraction form
    27,823.66/38,409.95 = 15,884.69/x
  3. Step 3: Cross multiply
    27,823.66x = 38,409.95 × 15,884.69
  4. Step 4: Simplify right side
    27,823.66x = 610,130,284.40
  5. Step 5: Solve for x
    x = 610,130,284.40/27,823.66
  6. Step 6: Final answer
    x = 21,928.47

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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.