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Finding the Fourth Proportional to 27,238.64, 40,820.16 and 12,411.32

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Solution

The fourth proportional to 27,238.64, 40,820.16 and 12,411.32 is: 18,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238.64 : 40,820.16 = 12,411.32 : x
  2. Step 2: Convert to fraction form
    27,238.64/40,820.16 = 12,411.32/x
  3. Step 3: Cross multiply
    27,238.64x = 40,820.16 × 12,411.32
  4. Step 4: Simplify right side
    27,238.64x = 506,632,068.21
  5. Step 5: Solve for x
    x = 506,632,068.21/27,238.64
  6. Step 6: Final answer
    x = 18,599.76

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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.