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Finding the Fourth Proportional to 23,497.86, 35,264.30 and 9,458.00

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Solution

The fourth proportional to 23,497.86, 35,264.30 and 9,458.00 is: 14,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.86 : 35,264.30 = 9,458.00 : x
  2. Step 2: Convert to fraction form
    23,497.86/35,264.30 = 9,458.00/x
  3. Step 3: Cross multiply
    23,497.86x = 35,264.30 × 9,458.00
  4. Step 4: Simplify right side
    23,497.86x = 333,529,525.79
  5. Step 5: Solve for x
    x = 333,529,525.79/23,497.86
  6. Step 6: Final answer
    x = 14,194.04

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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.