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Finding the Fourth Proportional to 21,971.50, 32,892.63 and 13,624.72

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Solution

The fourth proportional to 21,971.50, 32,892.63 and 13,624.72 is: 20,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.50 : 32,892.63 = 13,624.72 : x
  2. Step 2: Convert to fraction form
    21,971.50/32,892.63 = 13,624.72/x
  3. Step 3: Cross multiply
    21,971.50x = 32,892.63 × 13,624.72
  4. Step 4: Simplify right side
    21,971.50x = 448,152,873.81
  5. Step 5: Solve for x
    x = 448,152,873.81/21,971.50
  6. Step 6: Final answer
    x = 20,397.01

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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.