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Finding the Fourth Proportional to 16,652.48, 24,960.16 and 7,417.28

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Solution

The fourth proportional to 16,652.48, 24,960.16 and 7,417.28 is: 11,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.48 : 24,960.16 = 7,417.28 : x
  2. Step 2: Convert to fraction form
    16,652.48/24,960.16 = 7,417.28/x
  3. Step 3: Cross multiply
    16,652.48x = 24,960.16 × 7,417.28
  4. Step 4: Simplify right side
    16,652.48x = 185,136,495.56
  5. Step 5: Solve for x
    x = 185,136,495.56/16,652.48
  6. Step 6: Final answer
    x = 11,117.65

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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.