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Finding the Fourth Proportional to 12,335.63, 18,506.17 and 5,758.22

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Solution

The fourth proportional to 12,335.63, 18,506.17 and 5,758.22 is: 8,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.63 : 18,506.17 = 5,758.22 : x
  2. Step 2: Convert to fraction form
    12,335.63/18,506.17 = 5,758.22/x
  3. Step 3: Cross multiply
    12,335.63x = 18,506.17 × 5,758.22
  4. Step 4: Simplify right side
    12,335.63x = 106,562,598.22
  5. Step 5: Solve for x
    x = 106,562,598.22/12,335.63
  6. Step 6: Final answer
    x = 8,638.60

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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.