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Finding the Fourth Proportional to 13,525.83, 18,656.26 and 12,410.46

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Solution

The fourth proportional to 13,525.83, 18,656.26 and 12,410.46 is: 17,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.83 : 18,656.26 = 12,410.46 : x
  2. Step 2: Convert to fraction form
    13,525.83/18,656.26 = 12,410.46/x
  3. Step 3: Cross multiply
    13,525.83x = 18,656.26 × 12,410.46
  4. Step 4: Simplify right side
    13,525.83x = 231,532,737.45
  5. Step 5: Solve for x
    x = 231,532,737.45/13,525.83
  6. Step 6: Final answer
    x = 17,117.82

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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.