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Finding the Fourth Proportional to 19,642.19, 29,463.28 and 16,172.15

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Solution

The fourth proportional to 19,642.19, 29,463.28 and 16,172.15 is: 24,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.19 : 29,463.28 = 16,172.15 : x
  2. Step 2: Convert to fraction form
    19,642.19/29,463.28 = 16,172.15/x
  3. Step 3: Cross multiply
    19,642.19x = 29,463.28 × 16,172.15
  4. Step 4: Simplify right side
    19,642.19x = 476,484,395.91
  5. Step 5: Solve for x
    x = 476,484,395.91/19,642.19
  6. Step 6: Final answer
    x = 24,258.22

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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.