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Finding the Fourth Proportional to 16,315.32, 22,514.86 and 9,145.46

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Solution

The fourth proportional to 16,315.32, 22,514.86 and 9,145.46 is: 12,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.32 : 22,514.86 = 9,145.46 : x
  2. Step 2: Convert to fraction form
    16,315.32/22,514.86 = 9,145.46/x
  3. Step 3: Cross multiply
    16,315.32x = 22,514.86 × 9,145.46
  4. Step 4: Simplify right side
    16,315.32x = 205,908,692.61
  5. Step 5: Solve for x
    x = 205,908,692.61/16,315.32
  6. Step 6: Final answer
    x = 12,620.57

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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.