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Finding the Fourth Proportional to 19,673.80, 29,525.10 and 13,097.80

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Solution

The fourth proportional to 19,673.80, 29,525.10 and 13,097.80 is: 19,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.80 : 29,525.10 = 13,097.80 : x
  2. Step 2: Convert to fraction form
    19,673.80/29,525.10 = 13,097.80/x
  3. Step 3: Cross multiply
    19,673.80x = 29,525.10 × 13,097.80
  4. Step 4: Simplify right side
    19,673.80x = 386,713,854.78
  5. Step 5: Solve for x
    x = 386,713,854.78/19,673.80
  6. Step 6: Final answer
    x = 19,656.29

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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.