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Finding the Fourth Proportional to 19,776.25, 29,651.01 and 10,406.32

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Solution

The fourth proportional to 19,776.25, 29,651.01 and 10,406.32 is: 15,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.25 : 29,651.01 = 10,406.32 : x
  2. Step 2: Convert to fraction form
    19,776.25/29,651.01 = 10,406.32/x
  3. Step 3: Cross multiply
    19,776.25x = 29,651.01 × 10,406.32
  4. Step 4: Simplify right side
    19,776.25x = 308,558,010.55
  5. Step 5: Solve for x
    x = 308,558,010.55/19,776.25
  6. Step 6: Final answer
    x = 15,602.45

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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.