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Finding the Fourth Proportional to 28,274.10, 42,417.81 and 8,552.82

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Solution

The fourth proportional to 28,274.10, 42,417.81 and 8,552.82 is: 12,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,274.10 : 42,417.81 = 8,552.82 : x
  2. Step 2: Convert to fraction form
    28,274.10/42,417.81 = 8,552.82/x
  3. Step 3: Cross multiply
    28,274.10x = 42,417.81 × 8,552.82
  4. Step 4: Simplify right side
    28,274.10x = 362,791,893.72
  5. Step 5: Solve for x
    x = 362,791,893.72/28,274.10
  6. Step 6: Final answer
    x = 12,831.24

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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.