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Finding the Fourth Proportional to 14,756.51, 20,364.38 and 8,382.89

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Solution

The fourth proportional to 14,756.51, 20,364.38 and 8,382.89 is: 11,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.51 : 20,364.38 = 8,382.89 : x
  2. Step 2: Convert to fraction form
    14,756.51/20,364.38 = 8,382.89/x
  3. Step 3: Cross multiply
    14,756.51x = 20,364.38 × 8,382.89
  4. Step 4: Simplify right side
    14,756.51x = 170,712,397.89
  5. Step 5: Solve for x
    x = 170,712,397.89/14,756.51
  6. Step 6: Final answer
    x = 11,568.61

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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.