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Finding the Fourth Proportional to 23,097.24, 34,651.08 and 7,303.23

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Solution

The fourth proportional to 23,097.24, 34,651.08 and 7,303.23 is: 10,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.24 : 34,651.08 = 7,303.23 : x
  2. Step 2: Convert to fraction form
    23,097.24/34,651.08 = 7,303.23/x
  3. Step 3: Cross multiply
    23,097.24x = 34,651.08 × 7,303.23
  4. Step 4: Simplify right side
    23,097.24x = 253,064,869.81
  5. Step 5: Solve for x
    x = 253,064,869.81/23,097.24
  6. Step 6: Final answer
    x = 10,956.50

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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.