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Finding the Fourth Proportional to 35,214.76, 52,825.02 and 14,438.44

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Solution

The fourth proportional to 35,214.76, 52,825.02 and 14,438.44 is: 21,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214.76 : 52,825.02 = 14,438.44 : x
  2. Step 2: Convert to fraction form
    35,214.76/52,825.02 = 14,438.44/x
  3. Step 3: Cross multiply
    35,214.76x = 52,825.02 × 14,438.44
  4. Step 4: Simplify right side
    35,214.76x = 762,710,881.77
  5. Step 5: Solve for x
    x = 762,710,881.77/35,214.76
  6. Step 6: Final answer
    x = 21,658.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.