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Finding the Fourth Proportional to 12,980.88, 17,915.34 and 7,316.70

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Solution

The fourth proportional to 12,980.88, 17,915.34 and 7,316.70 is: 10,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.88 : 17,915.34 = 7,316.70 : x
  2. Step 2: Convert to fraction form
    12,980.88/17,915.34 = 7,316.70/x
  3. Step 3: Cross multiply
    12,980.88x = 17,915.34 × 7,316.70
  4. Step 4: Simplify right side
    12,980.88x = 131,081,168.18
  5. Step 5: Solve for x
    x = 131,081,168.18/12,980.88
  6. Step 6: Final answer
    x = 10,098.02

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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.