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Finding the Fourth Proportional to 15,682.94, 23,532.47 and 10,421.58

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Solution

The fourth proportional to 15,682.94, 23,532.47 and 10,421.58 is: 15,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.94 : 23,532.47 = 10,421.58 : x
  2. Step 2: Convert to fraction form
    15,682.94/23,532.47 = 10,421.58/x
  3. Step 3: Cross multiply
    15,682.94x = 23,532.47 × 10,421.58
  4. Step 4: Simplify right side
    15,682.94x = 245,245,518.70
  5. Step 5: Solve for x
    x = 245,245,518.70/15,682.94
  6. Step 6: Final answer
    x = 15,637.73

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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.