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Finding the Fourth Proportional to 13,429.98, 18,533.02 and 7,764.64

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Solution

The fourth proportional to 13,429.98, 18,533.02 and 7,764.64 is: 10,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.98 : 18,533.02 = 7,764.64 : x
  2. Step 2: Convert to fraction form
    13,429.98/18,533.02 = 7,764.64/x
  3. Step 3: Cross multiply
    13,429.98x = 18,533.02 × 7,764.64
  4. Step 4: Simplify right side
    13,429.98x = 143,902,228.41
  5. Step 5: Solve for x
    x = 143,902,228.41/13,429.98
  6. Step 6: Final answer
    x = 10,715.00

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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.