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Finding the Fourth Proportional to 13,031.96, 19,547.96 and 3,171.24

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Solution

The fourth proportional to 13,031.96, 19,547.96 and 3,171.24 is: 4,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.96 : 19,547.96 = 3,171.24 : x
  2. Step 2: Convert to fraction form
    13,031.96/19,547.96 = 3,171.24/x
  3. Step 3: Cross multiply
    13,031.96x = 19,547.96 × 3,171.24
  4. Step 4: Simplify right side
    13,031.96x = 61,991,256.81
  5. Step 5: Solve for x
    x = 61,991,256.81/13,031.96
  6. Step 6: Final answer
    x = 4,756.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.