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Finding the Fourth Proportional to 13,535.35, 18,678.91 and 7,485.51

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Solution

The fourth proportional to 13,535.35, 18,678.91 and 7,485.51 is: 10,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.35 : 18,678.91 = 7,485.51 : x
  2. Step 2: Convert to fraction form
    13,535.35/18,678.91 = 7,485.51/x
  3. Step 3: Cross multiply
    13,535.35x = 18,678.91 × 7,485.51
  4. Step 4: Simplify right side
    13,535.35x = 139,821,148.88
  5. Step 5: Solve for x
    x = 139,821,148.88/13,535.35
  6. Step 6: Final answer
    x = 10,330.07

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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.