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Finding the Fourth Proportional to 16,714.84, 23,064.60 and 9,643.54

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Solution

The fourth proportional to 16,714.84, 23,064.60 and 9,643.54 is: 13,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.84 : 23,064.60 = 9,643.54 : x
  2. Step 2: Convert to fraction form
    16,714.84/23,064.60 = 9,643.54/x
  3. Step 3: Cross multiply
    16,714.84x = 23,064.60 × 9,643.54
  4. Step 4: Simplify right side
    16,714.84x = 222,424,392.68
  5. Step 5: Solve for x
    x = 222,424,392.68/16,714.84
  6. Step 6: Final answer
    x = 13,307.00

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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.