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Finding the Fourth Proportional to 20,307.24, 30,460.16 and 7,159.28

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Solution

The fourth proportional to 20,307.24, 30,460.16 and 7,159.28 is: 10,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.24 : 30,460.16 = 7,159.28 : x
  2. Step 2: Convert to fraction form
    20,307.24/30,460.16 = 7,159.28/x
  3. Step 3: Cross multiply
    20,307.24x = 30,460.16 × 7,159.28
  4. Step 4: Simplify right side
    20,307.24x = 218,072,626.19
  5. Step 5: Solve for x
    x = 218,072,626.19/20,307.24
  6. Step 6: Final answer
    x = 10,738.66

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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.