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Finding the Fourth Proportional to 20,085, 30,126.33 and 9,547.26

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Solution

The fourth proportional to 20,085, 30,126.33 and 9,547.26 is: 14,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085 : 30,126.33 = 9,547.26 : x
  2. Step 2: Convert to fraction form
    20,085/30,126.33 = 9,547.26/x
  3. Step 3: Cross multiply
    20,085x = 30,126.33 × 9,547.26
  4. Step 4: Simplify right side
    20,085x = 287,623,905.36
  5. Step 5: Solve for x
    x = 287,623,905.36/20,085
  6. Step 6: Final answer
    x = 14,320.33

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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.