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Finding the Fourth Proportional to 23,045.66, 31,803.61 and 12,974.47

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Solution

The fourth proportional to 23,045.66, 31,803.61 and 12,974.47 is: 17,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.66 : 31,803.61 = 12,974.47 : x
  2. Step 2: Convert to fraction form
    23,045.66/31,803.61 = 12,974.47/x
  3. Step 3: Cross multiply
    23,045.66x = 31,803.61 × 12,974.47
  4. Step 4: Simplify right side
    23,045.66x = 412,634,983.84
  5. Step 5: Solve for x
    x = 412,634,983.84/23,045.66
  6. Step 6: Final answer
    x = 17,905.11

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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.