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Finding the Fourth Proportional to 12,830.40, 17,690.40 and 9,849.60

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Solution

The fourth proportional to 12,830.40, 17,690.40 and 9,849.60 is: 13,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.40 : 17,690.40 = 9,849.60 : x
  2. Step 2: Convert to fraction form
    12,830.40/17,690.40 = 9,849.60/x
  3. Step 3: Cross multiply
    12,830.40x = 17,690.40 × 9,849.60
  4. Step 4: Simplify right side
    12,830.40x = 174,243,363.84
  5. Step 5: Solve for x
    x = 174,243,363.84/12,830.40
  6. Step 6: Final answer
    x = 13,580.51

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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.