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Finding the Fourth Proportional to 22,307.40, 33,465.60 and 6,512.40

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Solution

The fourth proportional to 22,307.40, 33,465.60 and 6,512.40 is: 9,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.40 : 33,465.60 = 6,512.40 : x
  2. Step 2: Convert to fraction form
    22,307.40/33,465.60 = 6,512.40/x
  3. Step 3: Cross multiply
    22,307.40x = 33,465.60 × 6,512.40
  4. Step 4: Simplify right side
    22,307.40x = 217,941,373.44
  5. Step 5: Solve for x
    x = 217,941,373.44/22,307.40
  6. Step 6: Final answer
    x = 9,769.91

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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.