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Finding the Fourth Proportional to 22,603.74, 33,886.48 and 13,820.20

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Solution

The fourth proportional to 22,603.74, 33,886.48 and 13,820.20 is: 20,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.74 : 33,886.48 = 13,820.20 : x
  2. Step 2: Convert to fraction form
    22,603.74/33,886.48 = 13,820.20/x
  3. Step 3: Cross multiply
    22,603.74x = 33,886.48 × 13,820.20
  4. Step 4: Simplify right side
    22,603.74x = 468,317,989.28
  5. Step 5: Solve for x
    x = 468,317,989.28/22,603.74
  6. Step 6: Final answer
    x = 20,718.60

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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.