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Finding the Fourth Proportional to 23,347, 32,218.86 and 14,963.50

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Solution

The fourth proportional to 23,347, 32,218.86 and 14,963.50 is: 20,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347 : 32,218.86 = 14,963.50 : x
  2. Step 2: Convert to fraction form
    23,347/32,218.86 = 14,963.50/x
  3. Step 3: Cross multiply
    23,347x = 32,218.86 × 14,963.50
  4. Step 4: Simplify right side
    23,347x = 482,106,911.61
  5. Step 5: Solve for x
    x = 482,106,911.61/23,347
  6. Step 6: Final answer
    x = 20,649.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.