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Finding the Fourth Proportional to 13,532.54, 18,674.98 and 7,564.46

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Solution

The fourth proportional to 13,532.54, 18,674.98 and 7,564.46 is: 10,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.54 : 18,674.98 = 7,564.46 : x
  2. Step 2: Convert to fraction form
    13,532.54/18,674.98 = 7,564.46/x
  3. Step 3: Cross multiply
    13,532.54x = 18,674.98 × 7,564.46
  4. Step 4: Simplify right side
    13,532.54x = 141,266,139.21
  5. Step 5: Solve for x
    x = 141,266,139.21/13,532.54
  6. Step 6: Final answer
    x = 10,439.00

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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.