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Finding the Fourth Proportional to 13,785.42, 19,024.48 and 8,482

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Solution

The fourth proportional to 13,785.42, 19,024.48 and 8,482 is: 11,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.42 : 19,024.48 = 8,482 : x
  2. Step 2: Convert to fraction form
    13,785.42/19,024.48 = 8,482/x
  3. Step 3: Cross multiply
    13,785.42x = 19,024.48 × 8,482
  4. Step 4: Simplify right side
    13,785.42x = 161,365,639.36
  5. Step 5: Solve for x
    x = 161,365,639.36/13,785.42
  6. Step 6: Final answer
    x = 11,705.53

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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.