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Finding the Fourth Proportional to 24,977.34, 34,467.66 and 13,646.66

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Solution

The fourth proportional to 24,977.34, 34,467.66 and 13,646.66 is: 18,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.34 : 34,467.66 = 13,646.66 : x
  2. Step 2: Convert to fraction form
    24,977.34/34,467.66 = 13,646.66/x
  3. Step 3: Cross multiply
    24,977.34x = 34,467.66 × 13,646.66
  4. Step 4: Simplify right side
    24,977.34x = 470,368,264.68
  5. Step 5: Solve for x
    x = 470,368,264.68/24,977.34
  6. Step 6: Final answer
    x = 18,831.80

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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.