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Finding the Fourth Proportional to 13,597.76, 18,762.56 and 7,628.48

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Solution

The fourth proportional to 13,597.76, 18,762.56 and 7,628.48 is: 10,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.76 : 18,762.56 = 7,628.48 : x
  2. Step 2: Convert to fraction form
    13,597.76/18,762.56 = 7,628.48/x
  3. Step 3: Cross multiply
    13,597.76x = 18,762.56 × 7,628.48
  4. Step 4: Simplify right side
    13,597.76x = 143,129,813.71
  5. Step 5: Solve for x
    x = 143,129,813.71/13,597.76
  6. Step 6: Final answer
    x = 10,525.98

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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.