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Finding the Fourth Proportional to 23,116.31, 31,900.19 and 12,907.50

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Solution

The fourth proportional to 23,116.31, 31,900.19 and 12,907.50 is: 17,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.31 : 31,900.19 = 12,907.50 : x
  2. Step 2: Convert to fraction form
    23,116.31/31,900.19 = 12,907.50/x
  3. Step 3: Cross multiply
    23,116.31x = 31,900.19 × 12,907.50
  4. Step 4: Simplify right side
    23,116.31x = 411,751,702.43
  5. Step 5: Solve for x
    x = 411,751,702.43/23,116.31
  6. Step 6: Final answer
    x = 17,812.17

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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.