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Finding the Fourth Proportional to 23,196.96, 34,654.32 and 14,809.68

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Solution

The fourth proportional to 23,196.96, 34,654.32 and 14,809.68 is: 22,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196.96 : 34,654.32 = 14,809.68 : x
  2. Step 2: Convert to fraction form
    23,196.96/34,654.32 = 14,809.68/x
  3. Step 3: Cross multiply
    23,196.96x = 34,654.32 × 14,809.68
  4. Step 4: Simplify right side
    23,196.96x = 513,219,389.82
  5. Step 5: Solve for x
    x = 513,219,389.82/23,196.96
  6. Step 6: Final answer
    x = 22,124.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.