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Finding the Fourth Proportional to 13,071, 19,595.48 and 5,669.89

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Solution

The fourth proportional to 13,071, 19,595.48 and 5,669.89 is: 8,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071 : 19,595.48 = 5,669.89 : x
  2. Step 2: Convert to fraction form
    13,071/19,595.48 = 5,669.89/x
  3. Step 3: Cross multiply
    13,071x = 19,595.48 × 5,669.89
  4. Step 4: Simplify right side
    13,071x = 111,104,138.76
  5. Step 5: Solve for x
    x = 111,104,138.76/13,071
  6. Step 6: Final answer
    x = 8,500.05

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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.