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Finding the Fourth Proportional to 23,551.24, 35,326.86 and 10,417

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Solution

The fourth proportional to 23,551.24, 35,326.86 and 10,417 is: 15,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,551.24 : 35,326.86 = 10,417 : x
  2. Step 2: Convert to fraction form
    23,551.24/35,326.86 = 10,417/x
  3. Step 3: Cross multiply
    23,551.24x = 35,326.86 × 10,417
  4. Step 4: Simplify right side
    23,551.24x = 367,999,900.62
  5. Step 5: Solve for x
    x = 367,999,900.62/23,551.24
  6. Step 6: Final answer
    x = 15,625.50

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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.