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Finding the Fourth Proportional to 15,900.20, 21,940.65 and 9,188.00

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Solution

The fourth proportional to 15,900.20, 21,940.65 and 9,188.00 is: 12,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.20 : 21,940.65 = 9,188.00 : x
  2. Step 2: Convert to fraction form
    15,900.20/21,940.65 = 9,188.00/x
  3. Step 3: Cross multiply
    15,900.20x = 21,940.65 × 9,188.00
  4. Step 4: Simplify right side
    15,900.20x = 201,590,664.77
  5. Step 5: Solve for x
    x = 201,590,664.77/15,900.20
  6. Step 6: Final answer
    x = 12,678.50

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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.