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Finding the Fourth Proportional to 12,307.58, 18,454.04 and 5,735.24

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Solution

The fourth proportional to 12,307.58, 18,454.04 and 5,735.24 is: 8,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.58 : 18,454.04 = 5,735.24 : x
  2. Step 2: Convert to fraction form
    12,307.58/18,454.04 = 5,735.24/x
  3. Step 3: Cross multiply
    12,307.58x = 18,454.04 × 5,735.24
  4. Step 4: Simplify right side
    12,307.58x = 105,838,348.37
  5. Step 5: Solve for x
    x = 105,838,348.37/12,307.58
  6. Step 6: Final answer
    x = 8,599.44

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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.