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Finding the Fourth Proportional to 25,232.36, 37,848.54 and 9,654.76

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Solution

The fourth proportional to 25,232.36, 37,848.54 and 9,654.76 is: 14,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,232.36 : 37,848.54 = 9,654.76 : x
  2. Step 2: Convert to fraction form
    25,232.36/37,848.54 = 9,654.76/x
  3. Step 3: Cross multiply
    25,232.36x = 37,848.54 × 9,654.76
  4. Step 4: Simplify right side
    25,232.36x = 365,418,570.05
  5. Step 5: Solve for x
    x = 365,418,570.05/25,232.36
  6. Step 6: Final answer
    x = 14,482.14

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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.