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Finding the Fourth Proportional to 12,283.25, 18,430.88 and 5,714.01

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Solution

The fourth proportional to 12,283.25, 18,430.88 and 5,714.01 is: 8,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.25 : 18,430.88 = 5,714.01 : x
  2. Step 2: Convert to fraction form
    12,283.25/18,430.88 = 5,714.01/x
  3. Step 3: Cross multiply
    12,283.25x = 18,430.88 × 5,714.01
  4. Step 4: Simplify right side
    12,283.25x = 105,314,204.06
  5. Step 5: Solve for x
    x = 105,314,204.06/12,283.25
  6. Step 6: Final answer
    x = 8,573.81

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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.