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Finding the Fourth Proportional to 20,971.09, 31,478.51 and 9,292.51

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Solution

The fourth proportional to 20,971.09, 31,478.51 and 9,292.51 is: 13,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.09 : 31,478.51 = 9,292.51 : x
  2. Step 2: Convert to fraction form
    20,971.09/31,478.51 = 9,292.51/x
  3. Step 3: Cross multiply
    20,971.09x = 31,478.51 × 9,292.51
  4. Step 4: Simplify right side
    20,971.09x = 292,514,368.96
  5. Step 5: Solve for x
    x = 292,514,368.96/20,971.09
  6. Step 6: Final answer
    x = 13,948.46

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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.