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Finding the Fourth Proportional to 20,512.10, 28,323.51 and 12,970.64

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Solution

The fourth proportional to 20,512.10, 28,323.51 and 12,970.64 is: 17,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.10 : 28,323.51 = 12,970.64 : x
  2. Step 2: Convert to fraction form
    20,512.10/28,323.51 = 12,970.64/x
  3. Step 3: Cross multiply
    20,512.10x = 28,323.51 × 12,970.64
  4. Step 4: Simplify right side
    20,512.10x = 367,374,051.75
  5. Step 5: Solve for x
    x = 367,374,051.75/20,512.10
  6. Step 6: Final answer
    x = 17,910.11

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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.