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Finding the Fourth Proportional to 17,435.21, 24,059.59 and 9,477.38

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Solution

The fourth proportional to 17,435.21, 24,059.59 and 9,477.38 is: 13,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,435.21 : 24,059.59 = 9,477.38 : x
  2. Step 2: Convert to fraction form
    17,435.21/24,059.59 = 9,477.38/x
  3. Step 3: Cross multiply
    17,435.21x = 24,059.59 × 9,477.38
  4. Step 4: Simplify right side
    17,435.21x = 228,021,913.53
  5. Step 5: Solve for x
    x = 228,021,913.53/17,435.21
  6. Step 6: Final answer
    x = 13,078.25

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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.