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Finding the Fourth Proportional to 24,615.36, 36,923.22 and 9,828

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Solution

The fourth proportional to 24,615.36, 36,923.22 and 9,828 is: 14,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615.36 : 36,923.22 = 9,828 : x
  2. Step 2: Convert to fraction form
    24,615.36/36,923.22 = 9,828/x
  3. Step 3: Cross multiply
    24,615.36x = 36,923.22 × 9,828
  4. Step 4: Simplify right side
    24,615.36x = 362,881,406.16
  5. Step 5: Solve for x
    x = 362,881,406.16/24,615.36
  6. Step 6: Final answer
    x = 14,742.07

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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.