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Finding the Fourth Proportional to 13,525.74, 18,665.34 and 7,557.66

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Solution

The fourth proportional to 13,525.74, 18,665.34 and 7,557.66 is: 10,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.74 : 18,665.34 = 7,557.66 : x
  2. Step 2: Convert to fraction form
    13,525.74/18,665.34 = 7,557.66/x
  3. Step 3: Cross multiply
    13,525.74x = 18,665.34 × 7,557.66
  4. Step 4: Simplify right side
    13,525.74x = 141,066,293.50
  5. Step 5: Solve for x
    x = 141,066,293.50/13,525.74
  6. Step 6: Final answer
    x = 10,429.47

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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.