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Finding the Fourth Proportional to 15,819, 21,827.30 and 10,226.76

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Solution

The fourth proportional to 15,819, 21,827.30 and 10,226.76 is: 14,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819 : 21,827.30 = 10,226.76 : x
  2. Step 2: Convert to fraction form
    15,819/21,827.30 = 10,226.76/x
  3. Step 3: Cross multiply
    15,819x = 21,827.30 × 10,226.76
  4. Step 4: Simplify right side
    15,819x = 223,222,558.55
  5. Step 5: Solve for x
    x = 223,222,558.55/15,819
  6. Step 6: Final answer
    x = 14,111.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.