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Finding the Fourth Proportional to 27,772.52, 38,316.58 and 15,827.24

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Solution

The fourth proportional to 27,772.52, 38,316.58 and 15,827.24 is: 21,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.52 : 38,316.58 = 15,827.24 : x
  2. Step 2: Convert to fraction form
    27,772.52/38,316.58 = 15,827.24/x
  3. Step 3: Cross multiply
    27,772.52x = 38,316.58 × 15,827.24
  4. Step 4: Simplify right side
    27,772.52x = 606,445,707.64
  5. Step 5: Solve for x
    x = 606,445,707.64/27,772.52
  6. Step 6: Final answer
    x = 21,836.18

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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.