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Finding the Fourth Proportional to 12,853.52, 19,285.74 and 5,459.57

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Solution

The fourth proportional to 12,853.52, 19,285.74 and 5,459.57 is: 8,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.52 : 19,285.74 = 5,459.57 : x
  2. Step 2: Convert to fraction form
    12,853.52/19,285.74 = 5,459.57/x
  3. Step 3: Cross multiply
    12,853.52x = 19,285.74 × 5,459.57
  4. Step 4: Simplify right side
    12,853.52x = 105,291,751.10
  5. Step 5: Solve for x
    x = 105,291,751.10/12,853.52
  6. Step 6: Final answer
    x = 8,191.67

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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.