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Finding the Fourth Proportional to 17,477.15, 24,118.76 and 9,519.53

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Solution

The fourth proportional to 17,477.15, 24,118.76 and 9,519.53 is: 13,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.15 : 24,118.76 = 9,519.53 : x
  2. Step 2: Convert to fraction form
    17,477.15/24,118.76 = 9,519.53/x
  3. Step 3: Cross multiply
    17,477.15x = 24,118.76 × 9,519.53
  4. Step 4: Simplify right side
    17,477.15x = 229,599,259.38
  5. Step 5: Solve for x
    x = 229,599,259.38/17,477.15
  6. Step 6: Final answer
    x = 13,137.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.