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Finding the Fourth Proportional to 13,768.02, 19,002.93 and 7,802.98

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Solution

The fourth proportional to 13,768.02, 19,002.93 and 7,802.98 is: 10,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.02 : 19,002.93 = 7,802.98 : x
  2. Step 2: Convert to fraction form
    13,768.02/19,002.93 = 7,802.98/x
  3. Step 3: Cross multiply
    13,768.02x = 19,002.93 × 7,802.98
  4. Step 4: Simplify right side
    13,768.02x = 148,279,435.22
  5. Step 5: Solve for x
    x = 148,279,435.22/13,768.02
  6. Step 6: Final answer
    x = 10,769.84

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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.