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Finding the Fourth Proportional to 19,830.02, 29,744.16 and 7,980.32

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Solution

The fourth proportional to 19,830.02, 29,744.16 and 7,980.32 is: 11,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.02 : 29,744.16 = 7,980.32 : x
  2. Step 2: Convert to fraction form
    19,830.02/29,744.16 = 7,980.32/x
  3. Step 3: Cross multiply
    19,830.02x = 29,744.16 × 7,980.32
  4. Step 4: Simplify right side
    19,830.02x = 237,368,004.25
  5. Step 5: Solve for x
    x = 237,368,004.25/19,830.02
  6. Step 6: Final answer
    x = 11,970.14

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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.