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Finding the Fourth Proportional to 13,485.96, 18,610.38 and 7,518.06

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Solution

The fourth proportional to 13,485.96, 18,610.38 and 7,518.06 is: 10,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.96 : 18,610.38 = 7,518.06 : x
  2. Step 2: Convert to fraction form
    13,485.96/18,610.38 = 7,518.06/x
  3. Step 3: Cross multiply
    13,485.96x = 18,610.38 × 7,518.06
  4. Step 4: Simplify right side
    13,485.96x = 139,913,953.46
  5. Step 5: Solve for x
    x = 139,913,953.46/13,485.96
  6. Step 6: Final answer
    x = 10,374.79

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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.