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Finding the Fourth Proportional to 21,448.44, 32,166.18 and 12,681

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Solution

The fourth proportional to 21,448.44, 32,166.18 and 12,681 is: 19,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,448.44 : 32,166.18 = 12,681 : x
  2. Step 2: Convert to fraction form
    21,448.44/32,166.18 = 12,681/x
  3. Step 3: Cross multiply
    21,448.44x = 32,166.18 × 12,681
  4. Step 4: Simplify right side
    21,448.44x = 407,899,328.58
  5. Step 5: Solve for x
    x = 407,899,328.58/21,448.44
  6. Step 6: Final answer
    x = 19,017.67

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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.