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Finding the Fourth Proportional to 29,966.96, 44,924.52 and 11,486

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Solution

The fourth proportional to 29,966.96, 44,924.52 and 11,486 is: 17,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,966.96 : 44,924.52 = 11,486 : x
  2. Step 2: Convert to fraction form
    29,966.96/44,924.52 = 11,486/x
  3. Step 3: Cross multiply
    29,966.96x = 44,924.52 × 11,486
  4. Step 4: Simplify right side
    29,966.96x = 516,003,036.72
  5. Step 5: Solve for x
    x = 516,003,036.72/29,966.96
  6. Step 6: Final answer
    x = 17,219.07

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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.