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Finding the Fourth Proportional to 23,288.36, 32,136.98 and 12,678

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Solution

The fourth proportional to 23,288.36, 32,136.98 and 12,678 is: 17,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288.36 : 32,136.98 = 12,678 : x
  2. Step 2: Convert to fraction form
    23,288.36/32,136.98 = 12,678/x
  3. Step 3: Cross multiply
    23,288.36x = 32,136.98 × 12,678
  4. Step 4: Simplify right side
    23,288.36x = 407,432,569.05
  5. Step 5: Solve for x
    x = 407,432,569.05/23,288.36
  6. Step 6: Final answer
    x = 17,495.12

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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.