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Finding the Fourth Proportional to 13,107.11, 19,655.80 and 7,101.99

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Solution

The fourth proportional to 13,107.11, 19,655.80 and 7,101.99 is: 10,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.11 : 19,655.80 = 7,101.99 : x
  2. Step 2: Convert to fraction form
    13,107.11/19,655.80 = 7,101.99/x
  3. Step 3: Cross multiply
    13,107.11x = 19,655.80 × 7,101.99
  4. Step 4: Simplify right side
    13,107.11x = 139,595,277.29
  5. Step 5: Solve for x
    x = 139,595,277.29/13,107.11
  6. Step 6: Final answer
    x = 10,650.35

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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.