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Finding the Fourth Proportional to 16,509.34, 24,751.68 and 9,934.03

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Solution

The fourth proportional to 16,509.34, 24,751.68 and 9,934.03 is: 14,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.34 : 24,751.68 = 9,934.03 : x
  2. Step 2: Convert to fraction form
    16,509.34/24,751.68 = 9,934.03/x
  3. Step 3: Cross multiply
    16,509.34x = 24,751.68 × 9,934.03
  4. Step 4: Simplify right side
    16,509.34x = 245,883,931.67
  5. Step 5: Solve for x
    x = 245,883,931.67/16,509.34
  6. Step 6: Final answer
    x = 14,893.63

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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.