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Finding the Fourth Proportional to 34,698.36, 52,047.72 and 13,917

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Solution

The fourth proportional to 34,698.36, 52,047.72 and 13,917 is: 20,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698.36 : 52,047.72 = 13,917 : x
  2. Step 2: Convert to fraction form
    34,698.36/52,047.72 = 13,917/x
  3. Step 3: Cross multiply
    34,698.36x = 52,047.72 × 13,917
  4. Step 4: Simplify right side
    34,698.36x = 724,348,119.24
  5. Step 5: Solve for x
    x = 724,348,119.24/34,698.36
  6. Step 6: Final answer
    x = 20,875.57

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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.