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Finding the Fourth Proportional to 8,570.24, 12,855.61 and 2,330.22

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Solution

The fourth proportional to 8,570.24, 12,855.61 and 2,330.22 is: 3,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.24 : 12,855.61 = 2,330.22 : x
  2. Step 2: Convert to fraction form
    8,570.24/12,855.61 = 2,330.22/x
  3. Step 3: Cross multiply
    8,570.24x = 12,855.61 × 2,330.22
  4. Step 4: Simplify right side
    8,570.24x = 29,956,378.34
  5. Step 5: Solve for x
    x = 29,956,378.34/8,570.24
  6. Step 6: Final answer
    x = 3,495.40

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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.