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Finding the Fourth Proportional to 13,498.94, 18,628.64 and 7,529.64

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Solution

The fourth proportional to 13,498.94, 18,628.64 and 7,529.64 is: 10,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.94 : 18,628.64 = 7,529.64 : x
  2. Step 2: Convert to fraction form
    13,498.94/18,628.64 = 7,529.64/x
  3. Step 3: Cross multiply
    13,498.94x = 18,628.64 × 7,529.64
  4. Step 4: Simplify right side
    13,498.94x = 140,266,915.24
  5. Step 5: Solve for x
    x = 140,266,915.24/13,498.94
  6. Step 6: Final answer
    x = 10,390.96

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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.