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Finding the Fourth Proportional to 19,534.86, 29,288.93 and 9,397.89

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Solution

The fourth proportional to 19,534.86, 29,288.93 and 9,397.89 is: 14,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.86 : 29,288.93 = 9,397.89 : x
  2. Step 2: Convert to fraction form
    19,534.86/29,288.93 = 9,397.89/x
  3. Step 3: Cross multiply
    19,534.86x = 29,288.93 × 9,397.89
  4. Step 4: Simplify right side
    19,534.86x = 275,253,995.91
  5. Step 5: Solve for x
    x = 275,253,995.91/19,534.86
  6. Step 6: Final answer
    x = 14,090.40

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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.