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Finding the Fourth Proportional to 19,616.18, 29,430.42 and 6,477.78

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Solution

The fourth proportional to 19,616.18, 29,430.42 and 6,477.78 is: 9,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.18 : 29,430.42 = 6,477.78 : x
  2. Step 2: Convert to fraction form
    19,616.18/29,430.42 = 6,477.78/x
  3. Step 3: Cross multiply
    19,616.18x = 29,430.42 × 6,477.78
  4. Step 4: Simplify right side
    19,616.18x = 190,643,786.07
  5. Step 5: Solve for x
    x = 190,643,786.07/19,616.18
  6. Step 6: Final answer
    x = 9,718.70

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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.