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Finding the Fourth Proportional to 13,012.64, 19,516.03 and 5,985.90

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Solution

The fourth proportional to 13,012.64, 19,516.03 and 5,985.90 is: 8,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.64 : 19,516.03 = 5,985.90 : x
  2. Step 2: Convert to fraction form
    13,012.64/19,516.03 = 5,985.90/x
  3. Step 3: Cross multiply
    13,012.64x = 19,516.03 × 5,985.90
  4. Step 4: Simplify right side
    13,012.64x = 116,821,063.02
  5. Step 5: Solve for x
    x = 116,821,063.02/13,012.64
  6. Step 6: Final answer
    x = 8,977.51

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Why These Related Problems?

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