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Finding the Fourth Proportional to 13,562.65, 18,715.94 and 7,594.02

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Solution

The fourth proportional to 13,562.65, 18,715.94 and 7,594.02 is: 10,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.65 : 18,715.94 = 7,594.02 : x
  2. Step 2: Convert to fraction form
    13,562.65/18,715.94 = 7,594.02/x
  3. Step 3: Cross multiply
    13,562.65x = 18,715.94 × 7,594.02
  4. Step 4: Simplify right side
    13,562.65x = 142,129,112.87
  5. Step 5: Solve for x
    x = 142,129,112.87/13,562.65
  6. Step 6: Final answer
    x = 10,479.45

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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.