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Finding the Fourth Proportional to 25,443.36, 38,154.48 and 9,852

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Solution

The fourth proportional to 25,443.36, 38,154.48 and 9,852 is: 14,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,443.36 : 38,154.48 = 9,852 : x
  2. Step 2: Convert to fraction form
    25,443.36/38,154.48 = 9,852/x
  3. Step 3: Cross multiply
    25,443.36x = 38,154.48 × 9,852
  4. Step 4: Simplify right side
    25,443.36x = 375,897,936.96
  5. Step 5: Solve for x
    x = 375,897,936.96/25,443.36
  6. Step 6: Final answer
    x = 14,773.91

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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.