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Finding the Fourth Proportional to 13,023.57, 19,541.43 and 7,758.45

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Solution

The fourth proportional to 13,023.57, 19,541.43 and 7,758.45 is: 11,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.57 : 19,541.43 = 7,758.45 : x
  2. Step 2: Convert to fraction form
    13,023.57/19,541.43 = 7,758.45/x
  3. Step 3: Cross multiply
    13,023.57x = 19,541.43 × 7,758.45
  4. Step 4: Simplify right side
    13,023.57x = 151,611,207.58
  5. Step 5: Solve for x
    x = 151,611,207.58/13,023.57
  6. Step 6: Final answer
    x = 11,641.29

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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.