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Finding the Fourth Proportional to 12,980.75, 19,473.55 and 4,214.52

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Solution

The fourth proportional to 12,980.75, 19,473.55 and 4,214.52 is: 6,322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.75 : 19,473.55 = 4,214.52 : x
  2. Step 2: Convert to fraction form
    12,980.75/19,473.55 = 4,214.52/x
  3. Step 3: Cross multiply
    12,980.75x = 19,473.55 × 4,214.52
  4. Step 4: Simplify right side
    12,980.75x = 82,071,665.95
  5. Step 5: Solve for x
    x = 82,071,665.95/12,980.75
  6. Step 6: Final answer
    x = 6,322.57

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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.