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Finding the Fourth Proportional to 13,244.81, 19,848.74 and 9,954.05

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Solution

The fourth proportional to 13,244.81, 19,848.74 and 9,954.05 is: 14,917.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,244.81 : 19,848.74 = 9,954.05 : x
  2. Step 2: Convert to fraction form
    13,244.81/19,848.74 = 9,954.05/x
  3. Step 3: Cross multiply
    13,244.81x = 19,848.74 × 9,954.05
  4. Step 4: Simplify right side
    13,244.81x = 197,575,350.40
  5. Step 5: Solve for x
    x = 197,575,350.40/13,244.81
  6. Step 6: Final answer
    x = 14,917.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.