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Finding the Fourth Proportional to 16,700.58, 23,047.06 and 9,146.78

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Solution

The fourth proportional to 16,700.58, 23,047.06 and 9,146.78 is: 12,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.58 : 23,047.06 = 9,146.78 : x
  2. Step 2: Convert to fraction form
    16,700.58/23,047.06 = 9,146.78/x
  3. Step 3: Cross multiply
    16,700.58x = 23,047.06 × 9,146.78
  4. Step 4: Simplify right side
    16,700.58x = 210,806,387.47
  5. Step 5: Solve for x
    x = 210,806,387.47/16,700.58
  6. Step 6: Final answer
    x = 12,622.70

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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.