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Finding the Fourth Proportional to 13,809.57, 19,055.90 and 7,840.89

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Solution

The fourth proportional to 13,809.57, 19,055.90 and 7,840.89 is: 10,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.57 : 19,055.90 = 7,840.89 : x
  2. Step 2: Convert to fraction form
    13,809.57/19,055.90 = 7,840.89/x
  3. Step 3: Cross multiply
    13,809.57x = 19,055.90 × 7,840.89
  4. Step 4: Simplify right side
    13,809.57x = 149,415,176.55
  5. Step 5: Solve for x
    x = 149,415,176.55/13,809.57
  6. Step 6: Final answer
    x = 10,819.68

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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.