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Finding the Fourth Proportional to 19,484, 29,226.16 and 5,633.12

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Solution

The fourth proportional to 19,484, 29,226.16 and 5,633.12 is: 8,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,484 : 29,226.16 = 5,633.12 : x
  2. Step 2: Convert to fraction form
    19,484/29,226.16 = 5,633.12/x
  3. Step 3: Cross multiply
    19,484x = 29,226.16 × 5,633.12
  4. Step 4: Simplify right side
    19,484x = 164,634,466.42
  5. Step 5: Solve for x
    x = 164,634,466.42/19,484
  6. Step 6: Final answer
    x = 8,449.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.