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Finding the Fourth Proportional to 30,506.76, 42,097.32 and 16,893.90

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Solution

The fourth proportional to 30,506.76, 42,097.32 and 16,893.90 is: 23,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.76 : 42,097.32 = 16,893.90 : x
  2. Step 2: Convert to fraction form
    30,506.76/42,097.32 = 16,893.90/x
  3. Step 3: Cross multiply
    30,506.76x = 42,097.32 × 16,893.90
  4. Step 4: Simplify right side
    30,506.76x = 711,187,914.35
  5. Step 5: Solve for x
    x = 711,187,914.35/30,506.76
  6. Step 6: Final answer
    x = 23,312.47

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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.