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Finding the Fourth Proportional to 23,232.87, 32,045.01 and 14,285.28

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Solution

The fourth proportional to 23,232.87, 32,045.01 and 14,285.28 is: 19,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.87 : 32,045.01 = 14,285.28 : x
  2. Step 2: Convert to fraction form
    23,232.87/32,045.01 = 14,285.28/x
  3. Step 3: Cross multiply
    23,232.87x = 32,045.01 × 14,285.28
  4. Step 4: Simplify right side
    23,232.87x = 457,771,940.45
  5. Step 5: Solve for x
    x = 457,771,940.45/23,232.87
  6. Step 6: Final answer
    x = 19,703.63

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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.