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Finding the Fourth Proportional to 13,507.19, 18,639.95 and 7,538.86

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Solution

The fourth proportional to 13,507.19, 18,639.95 and 7,538.86 is: 10,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.19 : 18,639.95 = 7,538.86 : x
  2. Step 2: Convert to fraction form
    13,507.19/18,639.95 = 7,538.86/x
  3. Step 3: Cross multiply
    13,507.19x = 18,639.95 × 7,538.86
  4. Step 4: Simplify right side
    13,507.19x = 140,523,889.16
  5. Step 5: Solve for x
    x = 140,523,889.16/13,507.19
  6. Step 6: Final answer
    x = 10,403.64

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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.