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Finding the Fourth Proportional to 12,946.86, 19,415.43 and 6,016.50

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Solution

The fourth proportional to 12,946.86, 19,415.43 and 6,016.50 is: 9,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.86 : 19,415.43 = 6,016.50 : x
  2. Step 2: Convert to fraction form
    12,946.86/19,415.43 = 6,016.50/x
  3. Step 3: Cross multiply
    12,946.86x = 19,415.43 × 6,016.50
  4. Step 4: Simplify right side
    12,946.86x = 116,812,934.60
  5. Step 5: Solve for x
    x = 116,812,934.60/12,946.86
  6. Step 6: Final answer
    x = 9,022.49

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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.