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Finding the Fourth Proportional to 21,505.50, 29,677.59 and 12,074.06

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Solution

The fourth proportional to 21,505.50, 29,677.59 and 12,074.06 is: 16,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.50 : 29,677.59 = 12,074.06 : x
  2. Step 2: Convert to fraction form
    21,505.50/29,677.59 = 12,074.06/x
  3. Step 3: Cross multiply
    21,505.50x = 29,677.59 × 12,074.06
  4. Step 4: Simplify right side
    21,505.50x = 358,329,076.51
  5. Step 5: Solve for x
    x = 358,329,076.51/21,505.50
  6. Step 6: Final answer
    x = 16,662.21

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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.