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Finding the Fourth Proportional to 12,795.90, 17,657.60 and 7,130.30

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Solution

The fourth proportional to 12,795.90, 17,657.60 and 7,130.30 is: 9,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.90 : 17,657.60 = 7,130.30 : x
  2. Step 2: Convert to fraction form
    12,795.90/17,657.60 = 7,130.30/x
  3. Step 3: Cross multiply
    12,795.90x = 17,657.60 × 7,130.30
  4. Step 4: Simplify right side
    12,795.90x = 125,903,985.28
  5. Step 5: Solve for x
    x = 125,903,985.28/12,795.90
  6. Step 6: Final answer
    x = 9,839.40

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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.