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Finding the Fourth Proportional to 20,478.15, 30,711.59 and 12,970.45

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Solution

The fourth proportional to 20,478.15, 30,711.59 and 12,970.45 is: 19,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.15 : 30,711.59 = 12,970.45 : x
  2. Step 2: Convert to fraction form
    20,478.15/30,711.59 = 12,970.45/x
  3. Step 3: Cross multiply
    20,478.15x = 30,711.59 × 12,970.45
  4. Step 4: Simplify right side
    20,478.15x = 398,343,111.44
  5. Step 5: Solve for x
    x = 398,343,111.44/20,478.15
  6. Step 6: Final answer
    x = 19,452.10

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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.