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Finding the Fourth Proportional to 30,985.14, 42,763.14 and 18,409.90

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Solution

The fourth proportional to 30,985.14, 42,763.14 and 18,409.90 is: 25,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,985.14 : 42,763.14 = 18,409.90 : x
  2. Step 2: Convert to fraction form
    30,985.14/42,763.14 = 18,409.90/x
  3. Step 3: Cross multiply
    30,985.14x = 42,763.14 × 18,409.90
  4. Step 4: Simplify right side
    30,985.14x = 787,265,131.09
  5. Step 5: Solve for x
    x = 787,265,131.09/30,985.14
  6. Step 6: Final answer
    x = 25,407.83

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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.