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Finding the Fourth Proportional to 27,873.78, 38,465.76 and 15,298.26

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Solution

The fourth proportional to 27,873.78, 38,465.76 and 15,298.26 is: 21,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.78 : 38,465.76 = 15,298.26 : x
  2. Step 2: Convert to fraction form
    27,873.78/38,465.76 = 15,298.26/x
  3. Step 3: Cross multiply
    27,873.78x = 38,465.76 × 15,298.26
  4. Step 4: Simplify right side
    27,873.78x = 588,459,197.58
  5. Step 5: Solve for x
    x = 588,459,197.58/27,873.78
  6. Step 6: Final answer
    x = 21,111.57

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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.