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Finding the Fourth Proportional to 19,782.55, 29,616.18 and 10,400.32

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Solution

The fourth proportional to 19,782.55, 29,616.18 and 10,400.32 is: 15,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.55 : 29,616.18 = 10,400.32 : x
  2. Step 2: Convert to fraction form
    19,782.55/29,616.18 = 10,400.32/x
  3. Step 3: Cross multiply
    19,782.55x = 29,616.18 × 10,400.32
  4. Step 4: Simplify right side
    19,782.55x = 308,017,749.18
  5. Step 5: Solve for x
    x = 308,017,749.18/19,782.55
  6. Step 6: Final answer
    x = 15,570.17

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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.