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Finding the Fourth Proportional to 23,214, 32,035.90 and 12,603.64

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Solution

The fourth proportional to 23,214, 32,035.90 and 12,603.64 is: 17,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 32,035.90 = 12,603.64 : x
  2. Step 2: Convert to fraction form
    23,214/32,035.90 = 12,603.64/x
  3. Step 3: Cross multiply
    23,214x = 32,035.90 × 12,603.64
  4. Step 4: Simplify right side
    23,214x = 403,768,950.68
  5. Step 5: Solve for x
    x = 403,768,950.68/23,214
  6. Step 6: Final answer
    x = 17,393.34

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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.