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Finding the Fourth Proportional to 19,854, 29,781.72 and 6,003

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Solution

The fourth proportional to 19,854, 29,781.72 and 6,003 is: 9,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854 : 29,781.72 = 6,003 : x
  2. Step 2: Convert to fraction form
    19,854/29,781.72 = 6,003/x
  3. Step 3: Cross multiply
    19,854x = 29,781.72 × 6,003
  4. Step 4: Simplify right side
    19,854x = 178,779,665.16
  5. Step 5: Solve for x
    x = 178,779,665.16/19,854
  6. Step 6: Final answer
    x = 9,004.72

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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.