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Finding the Fourth Proportional to 19,808.50, 29,719.37 and 6,482.10

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Solution

The fourth proportional to 19,808.50, 29,719.37 and 6,482.10 is: 9,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.50 : 29,719.37 = 6,482.10 : x
  2. Step 2: Convert to fraction form
    19,808.50/29,719.37 = 6,482.10/x
  3. Step 3: Cross multiply
    19,808.50x = 29,719.37 × 6,482.10
  4. Step 4: Simplify right side
    19,808.50x = 192,643,928.28
  5. Step 5: Solve for x
    x = 192,643,928.28/19,808.50
  6. Step 6: Final answer
    x = 9,725.32

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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.