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Finding the Fourth Proportional to 16,302.72, 24,454.08 and 7,068

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Solution

The fourth proportional to 16,302.72, 24,454.08 and 7,068 is: 10,602

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.72 : 24,454.08 = 7,068 : x
  2. Step 2: Convert to fraction form
    16,302.72/24,454.08 = 7,068/x
  3. Step 3: Cross multiply
    16,302.72x = 24,454.08 × 7,068
  4. Step 4: Simplify right side
    16,302.72x = 172,841,437.44
  5. Step 5: Solve for x
    x = 172,841,437.44/16,302.72
  6. Step 6: Final answer
    x = 10,602

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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.