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Finding the Fourth Proportional to 13,031.16, 19,547.82 and 7,191.78

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Solution

The fourth proportional to 13,031.16, 19,547.82 and 7,191.78 is: 10,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.16 : 19,547.82 = 7,191.78 : x
  2. Step 2: Convert to fraction form
    13,031.16/19,547.82 = 7,191.78/x
  3. Step 3: Cross multiply
    13,031.16x = 19,547.82 × 7,191.78
  4. Step 4: Simplify right side
    13,031.16x = 140,583,620.92
  5. Step 5: Solve for x
    x = 140,583,620.92/13,031.16
  6. Step 6: Final answer
    x = 10,788.27

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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.