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Finding the Fourth Proportional to 13,535.33, 18,678.63 and 7,485.84

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Solution

The fourth proportional to 13,535.33, 18,678.63 and 7,485.84 is: 10,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.33 : 18,678.63 = 7,485.84 : x
  2. Step 2: Convert to fraction form
    13,535.33/18,678.63 = 7,485.84/x
  3. Step 3: Cross multiply
    13,535.33x = 18,678.63 × 7,485.84
  4. Step 4: Simplify right side
    13,535.33x = 139,825,235.60
  5. Step 5: Solve for x
    x = 139,825,235.60/13,535.33
  6. Step 6: Final answer
    x = 10,330.39

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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.