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Finding the Fourth Proportional to 19,457.64, 29,186.06 and 13,202.01

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Solution

The fourth proportional to 19,457.64, 29,186.06 and 13,202.01 is: 19,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,457.64 : 29,186.06 = 13,202.01 : x
  2. Step 2: Convert to fraction form
    19,457.64/29,186.06 = 13,202.01/x
  3. Step 3: Cross multiply
    19,457.64x = 29,186.06 × 13,202.01
  4. Step 4: Simplify right side
    19,457.64x = 385,314,589.97
  5. Step 5: Solve for x
    x = 385,314,589.97/19,457.64
  6. Step 6: Final answer
    x = 19,802.74

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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.