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Finding the Fourth Proportional to 24,696.66, 37,018.26 and 9,897.96

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Solution

The fourth proportional to 24,696.66, 37,018.26 and 9,897.96 is: 14,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696.66 : 37,018.26 = 9,897.96 : x
  2. Step 2: Convert to fraction form
    24,696.66/37,018.26 = 9,897.96/x
  3. Step 3: Cross multiply
    24,696.66x = 37,018.26 × 9,897.96
  4. Step 4: Simplify right side
    24,696.66x = 366,405,256.75
  5. Step 5: Solve for x
    x = 366,405,256.75/24,696.66
  6. Step 6: Final answer
    x = 14,836.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.