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Finding the Fourth Proportional to 30,506.36, 42,098.24 and 16,894.13

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Solution

The fourth proportional to 30,506.36, 42,098.24 and 16,894.13 is: 23,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.36 : 42,098.24 = 16,894.13 : x
  2. Step 2: Convert to fraction form
    30,506.36/42,098.24 = 16,894.13/x
  3. Step 3: Cross multiply
    30,506.36x = 42,098.24 × 16,894.13
  4. Step 4: Simplify right side
    30,506.36x = 711,212,971.08
  5. Step 5: Solve for x
    x = 711,212,971.08/30,506.36
  6. Step 6: Final answer
    x = 23,313.60

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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.