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Finding the Fourth Proportional to 14,293.15, 19,717.29 and 9,752.42

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Solution

The fourth proportional to 14,293.15, 19,717.29 and 9,752.42 is: 13,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.15 : 19,717.29 = 9,752.42 : x
  2. Step 2: Convert to fraction form
    14,293.15/19,717.29 = 9,752.42/x
  3. Step 3: Cross multiply
    14,293.15x = 19,717.29 × 9,752.42
  4. Step 4: Simplify right side
    14,293.15x = 192,291,342.64
  5. Step 5: Solve for x
    x = 192,291,342.64/14,293.15
  6. Step 6: Final answer
    x = 13,453.39

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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.