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Finding the Fourth Proportional to 19,844.32, 29,762.16 and 9,973.12

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Solution

The fourth proportional to 19,844.32, 29,762.16 and 9,973.12 is: 14,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,844.32 : 29,762.16 = 9,973.12 : x
  2. Step 2: Convert to fraction form
    19,844.32/29,762.16 = 9,973.12/x
  3. Step 3: Cross multiply
    19,844.32x = 29,762.16 × 9,973.12
  4. Step 4: Simplify right side
    19,844.32x = 296,821,593.14
  5. Step 5: Solve for x
    x = 296,821,593.14/19,844.32
  6. Step 6: Final answer
    x = 14,957.51

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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.