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Finding the Fourth Proportional to 29,642.98, 40,907.30 and 16,214.26

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Solution

The fourth proportional to 29,642.98, 40,907.30 and 16,214.26 is: 22,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.98 : 40,907.30 = 16,214.26 : x
  2. Step 2: Convert to fraction form
    29,642.98/40,907.30 = 16,214.26/x
  3. Step 3: Cross multiply
    29,642.98x = 40,907.30 × 16,214.26
  4. Step 4: Simplify right side
    29,642.98x = 663,281,598.10
  5. Step 5: Solve for x
    x = 663,281,598.10/29,642.98
  6. Step 6: Final answer
    x = 22,375.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.