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Finding the Fourth Proportional to 14,847.36, 20,492.64 and 10,374

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Solution

The fourth proportional to 14,847.36, 20,492.64 and 10,374 is: 14,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.36 : 20,492.64 = 10,374 : x
  2. Step 2: Convert to fraction form
    14,847.36/20,492.64 = 10,374/x
  3. Step 3: Cross multiply
    14,847.36x = 20,492.64 × 10,374
  4. Step 4: Simplify right side
    14,847.36x = 212,590,647.36
  5. Step 5: Solve for x
    x = 212,590,647.36/14,847.36
  6. Step 6: Final answer
    x = 14,318.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.