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Finding the Fourth Proportional to 24,746.49, 34,150.41 and 13,416.01

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Solution

The fourth proportional to 24,746.49, 34,150.41 and 13,416.01 is: 18,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.49 : 34,150.41 = 13,416.01 : x
  2. Step 2: Convert to fraction form
    24,746.49/34,150.41 = 13,416.01/x
  3. Step 3: Cross multiply
    24,746.49x = 34,150.41 × 13,416.01
  4. Step 4: Simplify right side
    24,746.49x = 458,162,156.69
  5. Step 5: Solve for x
    x = 458,162,156.69/24,746.49
  6. Step 6: Final answer
    x = 18,514.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.