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Finding the Fourth Proportional to 23,666.58, 35,492.49 and 7,868.22

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Solution

The fourth proportional to 23,666.58, 35,492.49 and 7,868.22 is: 11,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,666.58 : 35,492.49 = 7,868.22 : x
  2. Step 2: Convert to fraction form
    23,666.58/35,492.49 = 7,868.22/x
  3. Step 3: Cross multiply
    23,666.58x = 35,492.49 × 7,868.22
  4. Step 4: Simplify right side
    23,666.58x = 279,262,719.67
  5. Step 5: Solve for x
    x = 279,262,719.67/23,666.58
  6. Step 6: Final answer
    x = 11,799.88

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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.