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Finding the Fourth Proportional to 23,570.40, 35,355.60 and 9,719.40

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Solution

The fourth proportional to 23,570.40, 35,355.60 and 9,719.40 is: 14,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.40 : 35,355.60 = 9,719.40 : x
  2. Step 2: Convert to fraction form
    23,570.40/35,355.60 = 9,719.40/x
  3. Step 3: Cross multiply
    23,570.40x = 35,355.60 × 9,719.40
  4. Step 4: Simplify right side
    23,570.40x = 343,635,218.64
  5. Step 5: Solve for x
    x = 343,635,218.64/23,570.40
  6. Step 6: Final answer
    x = 14,579.10

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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.