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Finding the Fourth Proportional to 23,206.70, 34,802.76 and 10,045.82

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Solution

The fourth proportional to 23,206.70, 34,802.76 and 10,045.82 is: 15,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.70 : 34,802.76 = 10,045.82 : x
  2. Step 2: Convert to fraction form
    23,206.70/34,802.76 = 10,045.82/x
  3. Step 3: Cross multiply
    23,206.70x = 34,802.76 × 10,045.82
  4. Step 4: Simplify right side
    23,206.70x = 349,622,387.14
  5. Step 5: Solve for x
    x = 349,622,387.14/23,206.70
  6. Step 6: Final answer
    x = 15,065.58

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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.