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Finding the Fourth Proportional to 16,478, 22,742.80 and 12,885.84

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Solution

The fourth proportional to 16,478, 22,742.80 and 12,885.84 is: 17,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478 : 22,742.80 = 12,885.84 : x
  2. Step 2: Convert to fraction form
    16,478/22,742.80 = 12,885.84/x
  3. Step 3: Cross multiply
    16,478x = 22,742.80 × 12,885.84
  4. Step 4: Simplify right side
    16,478x = 293,060,081.95
  5. Step 5: Solve for x
    x = 293,060,081.95/16,478
  6. Step 6: Final answer
    x = 17,784.93

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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.