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Finding the Fourth Proportional to 24,701.50, 34,088.61 and 13,523.50

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Solution

The fourth proportional to 24,701.50, 34,088.61 and 13,523.50 is: 18,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.50 : 34,088.61 = 13,523.50 : x
  2. Step 2: Convert to fraction form
    24,701.50/34,088.61 = 13,523.50/x
  3. Step 3: Cross multiply
    24,701.50x = 34,088.61 × 13,523.50
  4. Step 4: Simplify right side
    24,701.50x = 460,997,317.34
  5. Step 5: Solve for x
    x = 460,997,317.34/24,701.50
  6. Step 6: Final answer
    x = 18,662.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.