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Finding the Fourth Proportional to 23,893, 32,970.78 and 13,282.24

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Solution

The fourth proportional to 23,893, 32,970.78 and 13,282.24 is: 18,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893 : 32,970.78 = 13,282.24 : x
  2. Step 2: Convert to fraction form
    23,893/32,970.78 = 13,282.24/x
  3. Step 3: Cross multiply
    23,893x = 32,970.78 × 13,282.24
  4. Step 4: Simplify right side
    23,893x = 437,925,812.95
  5. Step 5: Solve for x
    x = 437,925,812.95/23,893
  6. Step 6: Final answer
    x = 18,328.62

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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.