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Finding the Fourth Proportional to 16,436.88, 24,658 and 9,044.80

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Solution

The fourth proportional to 16,436.88, 24,658 and 9,044.80 is: 13,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,436.88 : 24,658 = 9,044.80 : x
  2. Step 2: Convert to fraction form
    16,436.88/24,658 = 9,044.80/x
  3. Step 3: Cross multiply
    16,436.88x = 24,658 × 9,044.80
  4. Step 4: Simplify right side
    16,436.88x = 223,026,678.40
  5. Step 5: Solve for x
    x = 223,026,678.40/16,436.88
  6. Step 6: Final answer
    x = 13,568.67

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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.