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Finding the Fourth Proportional to 27,214.32, 40,820.37 and 7,492.34

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Solution

The fourth proportional to 27,214.32, 40,820.37 and 7,492.34 is: 11,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.32 : 40,820.37 = 7,492.34 : x
  2. Step 2: Convert to fraction form
    27,214.32/40,820.37 = 7,492.34/x
  3. Step 3: Cross multiply
    27,214.32x = 40,820.37 × 7,492.34
  4. Step 4: Simplify right side
    27,214.32x = 305,839,886.86
  5. Step 5: Solve for x
    x = 305,839,886.86/27,214.32
  6. Step 6: Final answer
    x = 11,238.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.