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Finding the Fourth Proportional to 22,182.94, 33,258 and 13,415.90

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Solution

The fourth proportional to 22,182.94, 33,258 and 13,415.90 is: 20,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.94 : 33,258 = 13,415.90 : x
  2. Step 2: Convert to fraction form
    22,182.94/33,258 = 13,415.90/x
  3. Step 3: Cross multiply
    22,182.94x = 33,258 × 13,415.90
  4. Step 4: Simplify right side
    22,182.94x = 446,186,002.20
  5. Step 5: Solve for x
    x = 446,186,002.20/22,182.94
  6. Step 6: Final answer
    x = 20,113.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.