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Finding the Fourth Proportional to 16,290.16, 24,438.29 and 7,406.14

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Solution

The fourth proportional to 16,290.16, 24,438.29 and 7,406.14 is: 11,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.16 : 24,438.29 = 7,406.14 : x
  2. Step 2: Convert to fraction form
    16,290.16/24,438.29 = 7,406.14/x
  3. Step 3: Cross multiply
    16,290.16x = 24,438.29 × 7,406.14
  4. Step 4: Simplify right side
    16,290.16x = 180,993,397.10
  5. Step 5: Solve for x
    x = 180,993,397.10/16,290.16
  6. Step 6: Final answer
    x = 11,110.60

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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.