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Finding the Fourth Proportional to 19,658.16, 29,417.99 and 12,266.10

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Solution

The fourth proportional to 19,658.16, 29,417.99 and 12,266.10 is: 18,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.16 : 29,417.99 = 12,266.10 : x
  2. Step 2: Convert to fraction form
    19,658.16/29,417.99 = 12,266.10/x
  3. Step 3: Cross multiply
    19,658.16x = 29,417.99 × 12,266.10
  4. Step 4: Simplify right side
    19,658.16x = 360,844,007.14
  5. Step 5: Solve for x
    x = 360,844,007.14/19,658.16
  6. Step 6: Final answer
    x = 18,355.94

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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.