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Finding the Fourth Proportional to 16,225.90, 22,396.53 and 9,512.98

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Solution

The fourth proportional to 16,225.90, 22,396.53 and 9,512.98 is: 13,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.90 : 22,396.53 = 9,512.98 : x
  2. Step 2: Convert to fraction form
    16,225.90/22,396.53 = 9,512.98/x
  3. Step 3: Cross multiply
    16,225.90x = 22,396.53 × 9,512.98
  4. Step 4: Simplify right side
    16,225.90x = 213,057,741.96
  5. Step 5: Solve for x
    x = 213,057,741.96/16,225.90
  6. Step 6: Final answer
    x = 13,130.72

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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.