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Finding the Fourth Proportional to 23,077.40, 31,846.94 and 13,006

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Solution

The fourth proportional to 23,077.40, 31,846.94 and 13,006 is: 17,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.40 : 31,846.94 = 13,006 : x
  2. Step 2: Convert to fraction form
    23,077.40/31,846.94 = 13,006/x
  3. Step 3: Cross multiply
    23,077.40x = 31,846.94 × 13,006
  4. Step 4: Simplify right side
    23,077.40x = 414,201,301.64
  5. Step 5: Solve for x
    x = 414,201,301.64/23,077.40
  6. Step 6: Final answer
    x = 17,948.35

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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.