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Finding the Fourth Proportional to 27,782.68, 38,343.16 and 15,848.94

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Solution

The fourth proportional to 27,782.68, 38,343.16 and 15,848.94 is: 21,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.68 : 38,343.16 = 15,848.94 : x
  2. Step 2: Convert to fraction form
    27,782.68/38,343.16 = 15,848.94/x
  3. Step 3: Cross multiply
    27,782.68x = 38,343.16 × 15,848.94
  4. Step 4: Simplify right side
    27,782.68x = 607,698,442.25
  5. Step 5: Solve for x
    x = 607,698,442.25/27,782.68
  6. Step 6: Final answer
    x = 21,873.28

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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.