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Finding the Fourth Proportional to 22,705.69, 34,064.31 and 7,123.45

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Solution

The fourth proportional to 22,705.69, 34,064.31 and 7,123.45 is: 10,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.69 : 34,064.31 = 7,123.45 : x
  2. Step 2: Convert to fraction form
    22,705.69/34,064.31 = 7,123.45/x
  3. Step 3: Cross multiply
    22,705.69x = 34,064.31 × 7,123.45
  4. Step 4: Simplify right side
    22,705.69x = 242,655,409.07
  5. Step 5: Solve for x
    x = 242,655,409.07/22,705.69
  6. Step 6: Final answer
    x = 10,686.99

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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.