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Finding the Fourth Proportional to 23,214.08, 32,035.44 and 12,603.68

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Solution

The fourth proportional to 23,214.08, 32,035.44 and 12,603.68 is: 17,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.08 : 32,035.44 = 12,603.68 : x
  2. Step 2: Convert to fraction form
    23,214.08/32,035.44 = 12,603.68/x
  3. Step 3: Cross multiply
    23,214.08x = 32,035.44 × 12,603.68
  4. Step 4: Simplify right side
    23,214.08x = 403,764,434.42
  5. Step 5: Solve for x
    x = 403,764,434.42/23,214.08
  6. Step 6: Final answer
    x = 17,393.08

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