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Finding the Fourth Proportional to 14,769.79, 20,381.53 and 8,395.53

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Solution

The fourth proportional to 14,769.79, 20,381.53 and 8,395.53 is: 11,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.79 : 20,381.53 = 8,395.53 : x
  2. Step 2: Convert to fraction form
    14,769.79/20,381.53 = 8,395.53/x
  3. Step 3: Cross multiply
    14,769.79x = 20,381.53 × 8,395.53
  4. Step 4: Simplify right side
    14,769.79x = 171,113,746.56
  5. Step 5: Solve for x
    x = 171,113,746.56/14,769.79
  6. Step 6: Final answer
    x = 11,585.39

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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.