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Finding the Fourth Proportional to 19,501.92, 29,214 and 14,829.84

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Solution

The fourth proportional to 19,501.92, 29,214 and 14,829.84 is: 22,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,501.92 : 29,214 = 14,829.84 : x
  2. Step 2: Convert to fraction form
    19,501.92/29,214 = 14,829.84/x
  3. Step 3: Cross multiply
    19,501.92x = 29,214 × 14,829.84
  4. Step 4: Simplify right side
    19,501.92x = 433,238,945.76
  5. Step 5: Solve for x
    x = 433,238,945.76/19,501.92
  6. Step 6: Final answer
    x = 22,215.19

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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.