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Finding the Fourth Proportional to 13,699.64, 18,877.62 and 9,452

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Solution

The fourth proportional to 13,699.64, 18,877.62 and 9,452 is: 13,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.64 : 18,877.62 = 9,452 : x
  2. Step 2: Convert to fraction form
    13,699.64/18,877.62 = 9,452/x
  3. Step 3: Cross multiply
    13,699.64x = 18,877.62 × 9,452
  4. Step 4: Simplify right side
    13,699.64x = 178,431,264.24
  5. Step 5: Solve for x
    x = 178,431,264.24/13,699.64
  6. Step 6: Final answer
    x = 13,024.52

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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.