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Finding the Fourth Proportional to 19,876.90, 29,815.14 and 5,085.70

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Solution

The fourth proportional to 19,876.90, 29,815.14 and 5,085.70 is: 7,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.90 : 29,815.14 = 5,085.70 : x
  2. Step 2: Convert to fraction form
    19,876.90/29,815.14 = 5,085.70/x
  3. Step 3: Cross multiply
    19,876.90x = 29,815.14 × 5,085.70
  4. Step 4: Simplify right side
    19,876.90x = 151,630,857.50
  5. Step 5: Solve for x
    x = 151,630,857.50/19,876.90
  6. Step 6: Final answer
    x = 7,628.50

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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.