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Finding the Fourth Proportional to 19,452.42, 29,206.04 and 9,971.64

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Solution

The fourth proportional to 19,452.42, 29,206.04 and 9,971.64 is: 14,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,452.42 : 29,206.04 = 9,971.64 : x
  2. Step 2: Convert to fraction form
    19,452.42/29,206.04 = 9,971.64/x
  3. Step 3: Cross multiply
    19,452.42x = 29,206.04 × 9,971.64
  4. Step 4: Simplify right side
    19,452.42x = 291,232,066.85
  5. Step 5: Solve for x
    x = 291,232,066.85/19,452.42
  6. Step 6: Final answer
    x = 14,971.51

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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.