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Finding the Fourth Proportional to 23,274.72, 32,130 and 14,896.08

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Solution

The fourth proportional to 23,274.72, 32,130 and 14,896.08 is: 20,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274.72 : 32,130 = 14,896.08 : x
  2. Step 2: Convert to fraction form
    23,274.72/32,130 = 14,896.08/x
  3. Step 3: Cross multiply
    23,274.72x = 32,130 × 14,896.08
  4. Step 4: Simplify right side
    23,274.72x = 478,611,050.40
  5. Step 5: Solve for x
    x = 478,611,050.40/23,274.72
  6. Step 6: Final answer
    x = 20,563.56

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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.