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Finding the Fourth Proportional to 24,678.69, 37,012.56 and 9,883.63

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Solution

The fourth proportional to 24,678.69, 37,012.56 and 9,883.63 is: 14,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.69 : 37,012.56 = 9,883.63 : x
  2. Step 2: Convert to fraction form
    24,678.69/37,012.56 = 9,883.63/x
  3. Step 3: Cross multiply
    24,678.69x = 37,012.56 × 9,883.63
  4. Step 4: Simplify right side
    24,678.69x = 365,818,448.39
  5. Step 5: Solve for x
    x = 365,818,448.39/24,678.69
  6. Step 6: Final answer
    x = 14,823.25

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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.