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Finding the Fourth Proportional to 21,656.34, 32,497.47 and 12,428.82

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Solution

The fourth proportional to 21,656.34, 32,497.47 and 12,428.82 is: 18,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.34 : 32,497.47 = 12,428.82 : x
  2. Step 2: Convert to fraction form
    21,656.34/32,497.47 = 12,428.82/x
  3. Step 3: Cross multiply
    21,656.34x = 32,497.47 × 12,428.82
  4. Step 4: Simplify right side
    21,656.34x = 403,905,205.09
  5. Step 5: Solve for x
    x = 403,905,205.09/21,656.34
  6. Step 6: Final answer
    x = 18,650.67

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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.