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Finding the Fourth Proportional to 27,775.63, 38,330.35 and 15,678.66

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Solution

The fourth proportional to 27,775.63, 38,330.35 and 15,678.66 is: 21,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.63 : 38,330.35 = 15,678.66 : x
  2. Step 2: Convert to fraction form
    27,775.63/38,330.35 = 15,678.66/x
  3. Step 3: Cross multiply
    27,775.63x = 38,330.35 × 15,678.66
  4. Step 4: Simplify right side
    27,775.63x = 600,968,654.91
  5. Step 5: Solve for x
    x = 600,968,654.91/27,775.63
  6. Step 6: Final answer
    x = 21,636.54

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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.