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Finding the Fourth Proportional to 23,030.67, 31,782.95 and 12,959.47

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Solution

The fourth proportional to 23,030.67, 31,782.95 and 12,959.47 is: 17,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,030.67 : 31,782.95 = 12,959.47 : x
  2. Step 2: Convert to fraction form
    23,030.67/31,782.95 = 12,959.47/x
  3. Step 3: Cross multiply
    23,030.67x = 31,782.95 × 12,959.47
  4. Step 4: Simplify right side
    23,030.67x = 411,890,210.57
  5. Step 5: Solve for x
    x = 411,890,210.57/23,030.67
  6. Step 6: Final answer
    x = 17,884.42

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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.