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Finding the Fourth Proportional to 15,538.10, 23,307.94 and 4,446.44

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Solution

The fourth proportional to 15,538.10, 23,307.94 and 4,446.44 is: 6,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.10 : 23,307.94 = 4,446.44 : x
  2. Step 2: Convert to fraction form
    15,538.10/23,307.94 = 4,446.44/x
  3. Step 3: Cross multiply
    15,538.10x = 23,307.94 × 4,446.44
  4. Step 4: Simplify right side
    15,538.10x = 103,637,240.19
  5. Step 5: Solve for x
    x = 103,637,240.19/15,538.10
  6. Step 6: Final answer
    x = 6,669.88

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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.