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Finding the Fourth Proportional to 14,489.58, 21,737.64 and 7,825.92

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Solution

The fourth proportional to 14,489.58, 21,737.64 and 7,825.92 is: 11,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.58 : 21,737.64 = 7,825.92 : x
  2. Step 2: Convert to fraction form
    14,489.58/21,737.64 = 7,825.92/x
  3. Step 3: Cross multiply
    14,489.58x = 21,737.64 × 7,825.92
  4. Step 4: Simplify right side
    14,489.58x = 170,117,031.63
  5. Step 5: Solve for x
    x = 170,117,031.63/14,489.58
  6. Step 6: Final answer
    x = 11,740.65

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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.