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Finding the Fourth Proportional to 16,386.75, 22,610.88 and 9,214.77

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Solution

The fourth proportional to 16,386.75, 22,610.88 and 9,214.77 is: 12,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.75 : 22,610.88 = 9,214.77 : x
  2. Step 2: Convert to fraction form
    16,386.75/22,610.88 = 9,214.77/x
  3. Step 3: Cross multiply
    16,386.75x = 22,610.88 × 9,214.77
  4. Step 4: Simplify right side
    16,386.75x = 208,354,058.70
  5. Step 5: Solve for x
    x = 208,354,058.70/16,386.75
  6. Step 6: Final answer
    x = 12,714.79

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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.