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Finding the Fourth Proportional to 19,744.86, 29,616.54 and 4,953.90

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Solution

The fourth proportional to 19,744.86, 29,616.54 and 4,953.90 is: 7,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.86 : 29,616.54 = 4,953.90 : x
  2. Step 2: Convert to fraction form
    19,744.86/29,616.54 = 4,953.90/x
  3. Step 3: Cross multiply
    19,744.86x = 29,616.54 × 4,953.90
  4. Step 4: Simplify right side
    19,744.86x = 146,717,377.51
  5. Step 5: Solve for x
    x = 146,717,377.51/19,744.86
  6. Step 6: Final answer
    x = 7,430.66

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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.