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Finding the Fourth Proportional to 16,700.63, 23,046.89 and 9,627.53

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Solution

The fourth proportional to 16,700.63, 23,046.89 and 9,627.53 is: 13,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.63 : 23,046.89 = 9,627.53 : x
  2. Step 2: Convert to fraction form
    16,700.63/23,046.89 = 9,627.53/x
  3. Step 3: Cross multiply
    16,700.63x = 23,046.89 × 9,627.53
  4. Step 4: Simplify right side
    16,700.63x = 221,884,461.51
  5. Step 5: Solve for x
    x = 221,884,461.51/16,700.63
  6. Step 6: Final answer
    x = 13,286.00

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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.