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Finding the Fourth Proportional to 20,059.12, 30,088.80 and 6,208

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Solution

The fourth proportional to 20,059.12, 30,088.80 and 6,208 is: 9,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.12 : 30,088.80 = 6,208 : x
  2. Step 2: Convert to fraction form
    20,059.12/30,088.80 = 6,208/x
  3. Step 3: Cross multiply
    20,059.12x = 30,088.80 × 6,208
  4. Step 4: Simplify right side
    20,059.12x = 186,791,270.40
  5. Step 5: Solve for x
    x = 186,791,270.40/20,059.12
  6. Step 6: Final answer
    x = 9,312.04

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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.