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Finding the Fourth Proportional to 21,460.84, 32,192.94 and 8,312.20

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Solution

The fourth proportional to 21,460.84, 32,192.94 and 8,312.20 is: 12,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.84 : 32,192.94 = 8,312.20 : x
  2. Step 2: Convert to fraction form
    21,460.84/32,192.94 = 8,312.20/x
  3. Step 3: Cross multiply
    21,460.84x = 32,192.94 × 8,312.20
  4. Step 4: Simplify right side
    21,460.84x = 267,594,155.87
  5. Step 5: Solve for x
    x = 267,594,155.87/21,460.84
  6. Step 6: Final answer
    x = 12,468.95

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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.