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Finding the Fourth Proportional to 17,164.80, 25,740.80 and 4,848.64

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Solution

The fourth proportional to 17,164.80, 25,740.80 and 4,848.64 is: 7,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.80 : 25,740.80 = 4,848.64 : x
  2. Step 2: Convert to fraction form
    17,164.80/25,740.80 = 4,848.64/x
  3. Step 3: Cross multiply
    17,164.80x = 25,740.80 × 4,848.64
  4. Step 4: Simplify right side
    17,164.80x = 124,807,872.51
  5. Step 5: Solve for x
    x = 124,807,872.51/17,164.80
  6. Step 6: Final answer
    x = 7,271.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.