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Finding the Fourth Proportional to 14,055.36, 19,396.80 and 7,768.32

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Solution

The fourth proportional to 14,055.36, 19,396.80 and 7,768.32 is: 10,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,055.36 : 19,396.80 = 7,768.32 : x
  2. Step 2: Convert to fraction form
    14,055.36/19,396.80 = 7,768.32/x
  3. Step 3: Cross multiply
    14,055.36x = 19,396.80 × 7,768.32
  4. Step 4: Simplify right side
    14,055.36x = 150,680,549.38
  5. Step 5: Solve for x
    x = 150,680,549.38/14,055.36
  6. Step 6: Final answer
    x = 10,720.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.