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Finding the Fourth Proportional to 19,574.40, 29,361.62 and 9,186.16

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Solution

The fourth proportional to 19,574.40, 29,361.62 and 9,186.16 is: 13,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.40 : 29,361.62 = 9,186.16 : x
  2. Step 2: Convert to fraction form
    19,574.40/29,361.62 = 9,186.16/x
  3. Step 3: Cross multiply
    19,574.40x = 29,361.62 × 9,186.16
  4. Step 4: Simplify right side
    19,574.40x = 269,720,539.18
  5. Step 5: Solve for x
    x = 269,720,539.18/19,574.40
  6. Step 6: Final answer
    x = 13,779.25

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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.