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Finding the Fourth Proportional to 16,848, 25,270.96 and 5,160.32

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Solution

The fourth proportional to 16,848, 25,270.96 and 5,160.32 is: 7,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,848 : 25,270.96 = 5,160.32 : x
  2. Step 2: Convert to fraction form
    16,848/25,270.96 = 5,160.32/x
  3. Step 3: Cross multiply
    16,848x = 25,270.96 × 5,160.32
  4. Step 4: Simplify right side
    16,848x = 130,406,240.31
  5. Step 5: Solve for x
    x = 130,406,240.31/16,848
  6. Step 6: Final answer
    x = 7,740.16

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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.