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Finding the Fourth Proportional to 13,405.10, 20,107.65 and 13,117.10

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Solution

The fourth proportional to 13,405.10, 20,107.65 and 13,117.10 is: 19,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.10 : 20,107.65 = 13,117.10 : x
  2. Step 2: Convert to fraction form
    13,405.10/20,107.65 = 13,117.10/x
  3. Step 3: Cross multiply
    13,405.10x = 20,107.65 × 13,117.10
  4. Step 4: Simplify right side
    13,405.10x = 263,754,055.82
  5. Step 5: Solve for x
    x = 263,754,055.82/13,405.10
  6. Step 6: Final answer
    x = 19,675.65

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1.5x scale

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.