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Finding the Fourth Proportional to 16,652.34, 24,983.51 and 7,039.77

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Solution

The fourth proportional to 16,652.34, 24,983.51 and 7,039.77 is: 10,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.34 : 24,983.51 = 7,039.77 : x
  2. Step 2: Convert to fraction form
    16,652.34/24,983.51 = 7,039.77/x
  3. Step 3: Cross multiply
    16,652.34x = 24,983.51 × 7,039.77
  4. Step 4: Simplify right side
    16,652.34x = 175,878,128.99
  5. Step 5: Solve for x
    x = 175,878,128.99/16,652.34
  6. Step 6: Final answer
    x = 10,561.77

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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.