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Finding the Fourth Proportional to 12,657.74, 17,466.18 and 7,351.70

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Solution

The fourth proportional to 12,657.74, 17,466.18 and 7,351.70 is: 10,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.74 : 17,466.18 = 7,351.70 : x
  2. Step 2: Convert to fraction form
    12,657.74/17,466.18 = 7,351.70/x
  3. Step 3: Cross multiply
    12,657.74x = 17,466.18 × 7,351.70
  4. Step 4: Simplify right side
    12,657.74x = 128,406,115.51
  5. Step 5: Solve for x
    x = 128,406,115.51/12,657.74
  6. Step 6: Final answer
    x = 10,144.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.