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Finding the Fourth Proportional to 22,901.41, 31,603.26 and 12,829.60

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Solution

The fourth proportional to 22,901.41, 31,603.26 and 12,829.60 is: 17,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.41 : 31,603.26 = 12,829.60 : x
  2. Step 2: Convert to fraction form
    22,901.41/31,603.26 = 12,829.60/x
  3. Step 3: Cross multiply
    22,901.41x = 31,603.26 × 12,829.60
  4. Step 4: Simplify right side
    22,901.41x = 405,457,184.50
  5. Step 5: Solve for x
    x = 405,457,184.50/22,901.41
  6. Step 6: Final answer
    x = 17,704.46

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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.