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Finding the Fourth Proportional to 22,968, 31,698.27 and 14,584.50

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Solution

The fourth proportional to 22,968, 31,698.27 and 14,584.50 is: 20,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968 : 31,698.27 = 14,584.50 : x
  2. Step 2: Convert to fraction form
    22,968/31,698.27 = 14,584.50/x
  3. Step 3: Cross multiply
    22,968x = 31,698.27 × 14,584.50
  4. Step 4: Simplify right side
    22,968x = 462,303,418.82
  5. Step 5: Solve for x
    x = 462,303,418.82/22,968
  6. Step 6: Final answer
    x = 20,128.15

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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.