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Finding the Fourth Proportional to 21,421.58, 32,113.86 and 8,283.17

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Solution

The fourth proportional to 21,421.58, 32,113.86 and 8,283.17 is: 12,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.58 : 32,113.86 = 8,283.17 : x
  2. Step 2: Convert to fraction form
    21,421.58/32,113.86 = 8,283.17/x
  3. Step 3: Cross multiply
    21,421.58x = 32,113.86 × 8,283.17
  4. Step 4: Simplify right side
    21,421.58x = 266,004,401.17
  5. Step 5: Solve for x
    x = 266,004,401.17/21,421.58
  6. Step 6: Final answer
    x = 12,417.59

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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.