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Finding the Fourth Proportional to 23,101.85, 31,880.50 and 13,030.26

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Solution

The fourth proportional to 23,101.85, 31,880.50 and 13,030.26 is: 17,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.85 : 31,880.50 = 13,030.26 : x
  2. Step 2: Convert to fraction form
    23,101.85/31,880.50 = 13,030.26/x
  3. Step 3: Cross multiply
    23,101.85x = 31,880.50 × 13,030.26
  4. Step 4: Simplify right side
    23,101.85x = 415,411,203.93
  5. Step 5: Solve for x
    x = 415,411,203.93/23,101.85
  6. Step 6: Final answer
    x = 17,981.73

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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.