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Finding the Fourth Proportional to 23,677.60, 35,532.60 and 13,147.60

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Solution

The fourth proportional to 23,677.60, 35,532.60 and 13,147.60 is: 19,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.60 : 35,532.60 = 13,147.60 : x
  2. Step 2: Convert to fraction form
    23,677.60/35,532.60 = 13,147.60/x
  3. Step 3: Cross multiply
    23,677.60x = 35,532.60 × 13,147.60
  4. Step 4: Simplify right side
    23,677.60x = 467,168,411.76
  5. Step 5: Solve for x
    x = 467,168,411.76/23,677.60
  6. Step 6: Final answer
    x = 19,730.40

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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.