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Finding the Fourth Proportional to 27,913.86, 38,523.27 and 15,980.94

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Solution

The fourth proportional to 27,913.86, 38,523.27 and 15,980.94 is: 22,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913.86 : 38,523.27 = 15,980.94 : x
  2. Step 2: Convert to fraction form
    27,913.86/38,523.27 = 15,980.94/x
  3. Step 3: Cross multiply
    27,913.86x = 38,523.27 × 15,980.94
  4. Step 4: Simplify right side
    27,913.86x = 615,638,066.47
  5. Step 5: Solve for x
    x = 615,638,066.47/27,913.86
  6. Step 6: Final answer
    x = 22,054.92

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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.