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Finding the Fourth Proportional to 23,519, 32,457.18 and 13,583

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Solution

The fourth proportional to 23,519, 32,457.18 and 13,583 is: 18,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,519 : 32,457.18 = 13,583 : x
  2. Step 2: Convert to fraction form
    23,519/32,457.18 = 13,583/x
  3. Step 3: Cross multiply
    23,519x = 32,457.18 × 13,583
  4. Step 4: Simplify right side
    23,519x = 440,865,875.94
  5. Step 5: Solve for x
    x = 440,865,875.94/23,519
  6. Step 6: Final answer
    x = 18,745.09

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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.