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Finding the Fourth Proportional to 13,771.01, 19,003.93 and 7,802.67

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Solution

The fourth proportional to 13,771.01, 19,003.93 and 7,802.67 is: 10,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.01 : 19,003.93 = 7,802.67 : x
  2. Step 2: Convert to fraction form
    13,771.01/19,003.93 = 7,802.67/x
  3. Step 3: Cross multiply
    13,771.01x = 19,003.93 × 7,802.67
  4. Step 4: Simplify right side
    13,771.01x = 148,281,299.47
  5. Step 5: Solve for x
    x = 148,281,299.47/13,771.01
  6. Step 6: Final answer
    x = 10,767.64

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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.