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Finding the Fourth Proportional to 19,643.31, 29,464.81 and 13,009.50

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Solution

The fourth proportional to 19,643.31, 29,464.81 and 13,009.50 is: 19,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.31 : 29,464.81 = 13,009.50 : x
  2. Step 2: Convert to fraction form
    19,643.31/29,464.81 = 13,009.50/x
  3. Step 3: Cross multiply
    19,643.31x = 29,464.81 × 13,009.50
  4. Step 4: Simplify right side
    19,643.31x = 383,322,445.70
  5. Step 5: Solve for x
    x = 383,322,445.70/19,643.31
  6. Step 6: Final answer
    x = 19,514.15

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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.