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Finding the Fourth Proportional to 13,585.92, 18,749.53 and 7,538.14

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Solution

The fourth proportional to 13,585.92, 18,749.53 and 7,538.14 is: 10,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.92 : 18,749.53 = 7,538.14 : x
  2. Step 2: Convert to fraction form
    13,585.92/18,749.53 = 7,538.14/x
  3. Step 3: Cross multiply
    13,585.92x = 18,749.53 × 7,538.14
  4. Step 4: Simplify right side
    13,585.92x = 141,336,497.51
  5. Step 5: Solve for x
    x = 141,336,497.51/13,585.92
  6. Step 6: Final answer
    x = 10,403.16

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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.