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Finding the Fourth Proportional to 30,824.64, 42,537.88 and 16,677.72

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Solution

The fourth proportional to 30,824.64, 42,537.88 and 16,677.72 is: 23,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.64 : 42,537.88 = 16,677.72 : x
  2. Step 2: Convert to fraction form
    30,824.64/42,537.88 = 16,677.72/x
  3. Step 3: Cross multiply
    30,824.64x = 42,537.88 × 16,677.72
  4. Step 4: Simplify right side
    30,824.64x = 709,434,852.03
  5. Step 5: Solve for x
    x = 709,434,852.03/30,824.64
  6. Step 6: Final answer
    x = 23,015.19

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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.