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Finding the Fourth Proportional to 21,700.91, 32,551.11 and 16,468.05

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Solution

The fourth proportional to 21,700.91, 32,551.11 and 16,468.05 is: 24,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.91 : 32,551.11 = 16,468.05 : x
  2. Step 2: Convert to fraction form
    21,700.91/32,551.11 = 16,468.05/x
  3. Step 3: Cross multiply
    21,700.91x = 32,551.11 × 16,468.05
  4. Step 4: Simplify right side
    21,700.91x = 536,053,307.04
  5. Step 5: Solve for x
    x = 536,053,307.04/21,700.91
  6. Step 6: Final answer
    x = 24,701.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.