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Finding the Fourth Proportional to 21,381.40, 32,071.38 and 14,411.44

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Solution

The fourth proportional to 21,381.40, 32,071.38 and 14,411.44 is: 21,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.40 : 32,071.38 = 14,411.44 : x
  2. Step 2: Convert to fraction form
    21,381.40/32,071.38 = 14,411.44/x
  3. Step 3: Cross multiply
    21,381.40x = 32,071.38 × 14,411.44
  4. Step 4: Simplify right side
    21,381.40x = 462,194,768.59
  5. Step 5: Solve for x
    x = 462,194,768.59/21,381.40
  6. Step 6: Final answer
    x = 21,616.67

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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.