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Finding the Fourth Proportional to 16,700.68, 23,044.98 and 9,627.40

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Solution

The fourth proportional to 16,700.68, 23,044.98 and 9,627.40 is: 13,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.68 : 23,044.98 = 9,627.40 : x
  2. Step 2: Convert to fraction form
    16,700.68/23,044.98 = 9,627.40/x
  3. Step 3: Cross multiply
    16,700.68x = 23,044.98 × 9,627.40
  4. Step 4: Simplify right side
    16,700.68x = 221,863,240.45
  5. Step 5: Solve for x
    x = 221,863,240.45/16,700.68
  6. Step 6: Final answer
    x = 13,284.68

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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.