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Finding the Fourth Proportional to 21,500.64, 29,673.78 and 12,069.72

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Solution

The fourth proportional to 21,500.64, 29,673.78 and 12,069.72 is: 16,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500.64 : 29,673.78 = 12,069.72 : x
  2. Step 2: Convert to fraction form
    21,500.64/29,673.78 = 12,069.72/x
  3. Step 3: Cross multiply
    21,500.64x = 29,673.78 × 12,069.72
  4. Step 4: Simplify right side
    21,500.64x = 358,154,215.94
  5. Step 5: Solve for x
    x = 358,154,215.94/21,500.64
  6. Step 6: Final answer
    x = 16,657.84

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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.