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Finding the Fourth Proportional to 15,881.60, 23,876.40 and 12,980.96

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Solution

The fourth proportional to 15,881.60, 23,876.40 and 12,980.96 is: 19,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.60 : 23,876.40 = 12,980.96 : x
  2. Step 2: Convert to fraction form
    15,881.60/23,876.40 = 12,980.96/x
  3. Step 3: Cross multiply
    15,881.60x = 23,876.40 × 12,980.96
  4. Step 4: Simplify right side
    15,881.60x = 309,938,593.34
  5. Step 5: Solve for x
    x = 309,938,593.34/15,881.60
  6. Step 6: Final answer
    x = 19,515.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.