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Finding the Fourth Proportional to 13,219.72, 19,828.14 and 9,953.80

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Solution

The fourth proportional to 13,219.72, 19,828.14 and 9,953.80 is: 14,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.72 : 19,828.14 = 9,953.80 : x
  2. Step 2: Convert to fraction form
    13,219.72/19,828.14 = 9,953.80/x
  3. Step 3: Cross multiply
    13,219.72x = 19,828.14 × 9,953.80
  4. Step 4: Simplify right side
    13,219.72x = 197,365,339.93
  5. Step 5: Solve for x
    x = 197,365,339.93/13,219.72
  6. Step 6: Final answer
    x = 14,929.62

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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.