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Finding the Fourth Proportional to 22,705.89, 34,064.30 and 7,123.51

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Solution

The fourth proportional to 22,705.89, 34,064.30 and 7,123.51 is: 10,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.89 : 34,064.30 = 7,123.51 : x
  2. Step 2: Convert to fraction form
    22,705.89/34,064.30 = 7,123.51/x
  3. Step 3: Cross multiply
    22,705.89x = 34,064.30 × 7,123.51
  4. Step 4: Simplify right side
    22,705.89x = 242,657,381.69
  5. Step 5: Solve for x
    x = 242,657,381.69/22,705.89
  6. Step 6: Final answer
    x = 10,686.98

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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.