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Finding the Fourth Proportional to 23,225.94, 32,068.44 and 14,285.43

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Solution

The fourth proportional to 23,225.94, 32,068.44 and 14,285.43 is: 19,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.94 : 32,068.44 = 14,285.43 : x
  2. Step 2: Convert to fraction form
    23,225.94/32,068.44 = 14,285.43/x
  3. Step 3: Cross multiply
    23,225.94x = 32,068.44 × 14,285.43
  4. Step 4: Simplify right side
    23,225.94x = 458,111,454.83
  5. Step 5: Solve for x
    x = 458,111,454.83/23,225.94
  6. Step 6: Final answer
    x = 19,724.13

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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.