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Finding the Fourth Proportional to 14,496.26, 21,713.13 and 9,790.40

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Solution

The fourth proportional to 14,496.26, 21,713.13 and 9,790.40 is: 14,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.26 : 21,713.13 = 9,790.40 : x
  2. Step 2: Convert to fraction form
    14,496.26/21,713.13 = 9,790.40/x
  3. Step 3: Cross multiply
    14,496.26x = 21,713.13 × 9,790.40
  4. Step 4: Simplify right side
    14,496.26x = 212,580,119.39
  5. Step 5: Solve for x
    x = 212,580,119.39/14,496.26
  6. Step 6: Final answer
    x = 14,664.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.