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Finding the Fourth Proportional to 13,507.12, 18,639.64 and 7,538.70

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Solution

The fourth proportional to 13,507.12, 18,639.64 and 7,538.70 is: 10,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.12 : 18,639.64 = 7,538.70 : x
  2. Step 2: Convert to fraction form
    13,507.12/18,639.64 = 7,538.70/x
  3. Step 3: Cross multiply
    13,507.12x = 18,639.64 × 7,538.70
  4. Step 4: Simplify right side
    13,507.12x = 140,518,616.37
  5. Step 5: Solve for x
    x = 140,518,616.37/13,507.12
  6. Step 6: Final answer
    x = 10,403.30

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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.