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Finding the Fourth Proportional to 20,008.50, 30,007.08 and 8,307.24

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Solution

The fourth proportional to 20,008.50, 30,007.08 and 8,307.24 is: 12,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008.50 : 30,007.08 = 8,307.24 : x
  2. Step 2: Convert to fraction form
    20,008.50/30,007.08 = 8,307.24/x
  3. Step 3: Cross multiply
    20,008.50x = 30,007.08 × 8,307.24
  4. Step 4: Simplify right side
    20,008.50x = 249,276,015.26
  5. Step 5: Solve for x
    x = 249,276,015.26/20,008.50
  6. Step 6: Final answer
    x = 12,458.51

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Why These Related Problems?

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