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Finding the Fourth Proportional to 25,537.32, 38,307.96 and 8,007

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Solution

The fourth proportional to 25,537.32, 38,307.96 and 8,007 is: 12,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,537.32 : 38,307.96 = 8,007 : x
  2. Step 2: Convert to fraction form
    25,537.32/38,307.96 = 8,007/x
  3. Step 3: Cross multiply
    25,537.32x = 38,307.96 × 8,007
  4. Step 4: Simplify right side
    25,537.32x = 306,731,835.72
  5. Step 5: Solve for x
    x = 306,731,835.72/25,537.32
  6. Step 6: Final answer
    x = 12,011.12

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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.