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Finding the Fourth Proportional to 30,263.25, 45,402.17 and 9,486.75

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Solution

The fourth proportional to 30,263.25, 45,402.17 and 9,486.75 is: 14,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,263.25 : 45,402.17 = 9,486.75 : x
  2. Step 2: Convert to fraction form
    30,263.25/45,402.17 = 9,486.75/x
  3. Step 3: Cross multiply
    30,263.25x = 45,402.17 × 9,486.75
  4. Step 4: Simplify right side
    30,263.25x = 430,719,036.25
  5. Step 5: Solve for x
    x = 430,719,036.25/30,263.25
  6. Step 6: Final answer
    x = 14,232.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.