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Finding the Fourth Proportional to 25,089.42, 37,607.78 and 8,443.67

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Solution

The fourth proportional to 25,089.42, 37,607.78 and 8,443.67 is: 12,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089.42 : 37,607.78 = 8,443.67 : x
  2. Step 2: Convert to fraction form
    25,089.42/37,607.78 = 8,443.67/x
  3. Step 3: Cross multiply
    25,089.42x = 37,607.78 × 8,443.67
  4. Step 4: Simplify right side
    25,089.42x = 317,547,453.50
  5. Step 5: Solve for x
    x = 317,547,453.50/25,089.42
  6. Step 6: Final answer
    x = 12,656.63

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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.