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Finding the Fourth Proportional to 46,005.84, 69,008.69 and 14,418.33

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Solution

The fourth proportional to 46,005.84, 69,008.69 and 14,418.33 is: 21,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,005.84 : 69,008.69 = 14,418.33 : x
  2. Step 2: Convert to fraction form
    46,005.84/69,008.69 = 14,418.33/x
  3. Step 3: Cross multiply
    46,005.84x = 69,008.69 × 14,418.33
  4. Step 4: Simplify right side
    46,005.84x = 994,989,993.20
  5. Step 5: Solve for x
    x = 994,989,993.20/46,005.84
  6. Step 6: Final answer
    x = 21,627.47

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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.