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Finding the Fourth Proportional to 16,290.72, 22,477.50 and 9,214.56

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Solution

The fourth proportional to 16,290.72, 22,477.50 and 9,214.56 is: 12,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.72 : 22,477.50 = 9,214.56 : x
  2. Step 2: Convert to fraction form
    16,290.72/22,477.50 = 9,214.56/x
  3. Step 3: Cross multiply
    16,290.72x = 22,477.50 × 9,214.56
  4. Step 4: Simplify right side
    16,290.72x = 207,120,272.40
  5. Step 5: Solve for x
    x = 207,120,272.40/16,290.72
  6. Step 6: Final answer
    x = 12,714.00

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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.