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Finding the Fourth Proportional to 17,007.36, 23,470 and 9,453.50

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Solution

The fourth proportional to 17,007.36, 23,470 and 9,453.50 is: 13,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.36 : 23,470 = 9,453.50 : x
  2. Step 2: Convert to fraction form
    17,007.36/23,470 = 9,453.50/x
  3. Step 3: Cross multiply
    17,007.36x = 23,470 × 9,453.50
  4. Step 4: Simplify right side
    17,007.36x = 221,873,645
  5. Step 5: Solve for x
    x = 221,873,645/17,007.36
  6. Step 6: Final answer
    x = 13,045.74

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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.