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Finding the Fourth Proportional to 13,809.72, 19,056.74 and 7,840.61

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Solution

The fourth proportional to 13,809.72, 19,056.74 and 7,840.61 is: 10,819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.72 : 19,056.74 = 7,840.61 : x
  2. Step 2: Convert to fraction form
    13,809.72/19,056.74 = 7,840.61/x
  3. Step 3: Cross multiply
    13,809.72x = 19,056.74 × 7,840.61
  4. Step 4: Simplify right side
    13,809.72x = 149,416,331.72
  5. Step 5: Solve for x
    x = 149,416,331.72/13,809.72
  6. Step 6: Final answer
    x = 10,819.65

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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.