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Finding the Fourth Proportional to 16,633.74, 22,953.59 and 9,078.57

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Solution

The fourth proportional to 16,633.74, 22,953.59 and 9,078.57 is: 12,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.74 : 22,953.59 = 9,078.57 : x
  2. Step 2: Convert to fraction form
    16,633.74/22,953.59 = 9,078.57/x
  3. Step 3: Cross multiply
    16,633.74x = 22,953.59 × 9,078.57
  4. Step 4: Simplify right side
    16,633.74x = 208,385,728.17
  5. Step 5: Solve for x
    x = 208,385,728.17/16,633.74
  6. Step 6: Final answer
    x = 12,527.89

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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.