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Finding the Fourth Proportional to 23,957.13, 35,941.16 and 7,319.53

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Solution

The fourth proportional to 23,957.13, 35,941.16 and 7,319.53 is: 10,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.13 : 35,941.16 = 7,319.53 : x
  2. Step 2: Convert to fraction form
    23,957.13/35,941.16 = 7,319.53/x
  3. Step 3: Cross multiply
    23,957.13x = 35,941.16 × 7,319.53
  4. Step 4: Simplify right side
    23,957.13x = 263,072,219.15
  5. Step 5: Solve for x
    x = 263,072,219.15/23,957.13
  6. Step 6: Final answer
    x = 10,980.96

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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.