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Finding the Fourth Proportional to 30,564.44, 45,841.74 and 8,372.63

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Solution

The fourth proportional to 30,564.44, 45,841.74 and 8,372.63 is: 12,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.44 : 45,841.74 = 8,372.63 : x
  2. Step 2: Convert to fraction form
    30,564.44/45,841.74 = 8,372.63/x
  3. Step 3: Cross multiply
    30,564.44x = 45,841.74 × 8,372.63
  4. Step 4: Simplify right side
    30,564.44x = 383,815,948.51
  5. Step 5: Solve for x
    x = 383,815,948.51/30,564.44
  6. Step 6: Final answer
    x = 12,557.60

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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.