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Finding the Fourth Proportional to 13,507.76, 18,655.08 and 10,286.60

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Solution

The fourth proportional to 13,507.76, 18,655.08 and 10,286.60 is: 14,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.76 : 18,655.08 = 10,286.60 : x
  2. Step 2: Convert to fraction form
    13,507.76/18,655.08 = 10,286.60/x
  3. Step 3: Cross multiply
    13,507.76x = 18,655.08 × 10,286.60
  4. Step 4: Simplify right side
    13,507.76x = 191,897,345.93
  5. Step 5: Solve for x
    x = 191,897,345.93/13,507.76
  6. Step 6: Final answer
    x = 14,206.45

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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.