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Finding the Fourth Proportional to 13,031.84, 19,532.04 and 6,002.24

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Solution

The fourth proportional to 13,031.84, 19,532.04 and 6,002.24 is: 8,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.84 : 19,532.04 = 6,002.24 : x
  2. Step 2: Convert to fraction form
    13,031.84/19,532.04 = 6,002.24/x
  3. Step 3: Cross multiply
    13,031.84x = 19,532.04 × 6,002.24
  4. Step 4: Simplify right side
    13,031.84x = 117,235,894.11
  5. Step 5: Solve for x
    x = 117,235,894.11/13,031.84
  6. Step 6: Final answer
    x = 8,996.12

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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.