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Finding the Fourth Proportional to 19,725.42, 29,577.93 and 7,242.24

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Solution

The fourth proportional to 19,725.42, 29,577.93 and 7,242.24 is: 10,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725.42 : 29,577.93 = 7,242.24 : x
  2. Step 2: Convert to fraction form
    19,725.42/29,577.93 = 7,242.24/x
  3. Step 3: Cross multiply
    19,725.42x = 29,577.93 × 7,242.24
  4. Step 4: Simplify right side
    19,725.42x = 214,210,467.76
  5. Step 5: Solve for x
    x = 214,210,467.76/19,725.42
  6. Step 6: Final answer
    x = 10,859.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.