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Finding the Fourth Proportional to 14,571.16, 20,111.38 and 9,264.94

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Solution

The fourth proportional to 14,571.16, 20,111.38 and 9,264.94 is: 12,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.16 : 20,111.38 = 9,264.94 : x
  2. Step 2: Convert to fraction form
    14,571.16/20,111.38 = 9,264.94/x
  3. Step 3: Cross multiply
    14,571.16x = 20,111.38 × 9,264.94
  4. Step 4: Simplify right side
    14,571.16x = 186,330,729.02
  5. Step 5: Solve for x
    x = 186,330,729.02/14,571.16
  6. Step 6: Final answer
    x = 12,787.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.