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Finding the Fourth Proportional to 13,767.63, 18,999.32 and 7,480

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Solution

The fourth proportional to 13,767.63, 18,999.32 and 7,480 is: 10,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.63 : 18,999.32 = 7,480 : x
  2. Step 2: Convert to fraction form
    13,767.63/18,999.32 = 7,480/x
  3. Step 3: Cross multiply
    13,767.63x = 18,999.32 × 7,480
  4. Step 4: Simplify right side
    13,767.63x = 142,114,913.60
  5. Step 5: Solve for x
    x = 142,114,913.60/13,767.63
  6. Step 6: Final answer
    x = 10,322.39

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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.