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Finding the Fourth Proportional to 17,376.26, 26,065.60 and 6,988

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Solution

The fourth proportional to 17,376.26, 26,065.60 and 6,988 is: 10,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,376.26 : 26,065.60 = 6,988 : x
  2. Step 2: Convert to fraction form
    17,376.26/26,065.60 = 6,988/x
  3. Step 3: Cross multiply
    17,376.26x = 26,065.60 × 6,988
  4. Step 4: Simplify right side
    17,376.26x = 182,146,412.80
  5. Step 5: Solve for x
    x = 182,146,412.80/17,376.26
  6. Step 6: Final answer
    x = 10,482.49

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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.