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Finding the Fourth Proportional to 15,890.42, 23,809.71 and 8,088.50

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Solution

The fourth proportional to 15,890.42, 23,809.71 and 8,088.50 is: 12,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.42 : 23,809.71 = 8,088.50 : x
  2. Step 2: Convert to fraction form
    15,890.42/23,809.71 = 8,088.50/x
  3. Step 3: Cross multiply
    15,890.42x = 23,809.71 × 8,088.50
  4. Step 4: Simplify right side
    15,890.42x = 192,584,839.34
  5. Step 5: Solve for x
    x = 192,584,839.34/15,890.42
  6. Step 6: Final answer
    x = 12,119.56

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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.