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Finding the Fourth Proportional to 16,256.58, 22,432.92 and 9,449.94

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Solution

The fourth proportional to 16,256.58, 22,432.92 and 9,449.94 is: 13,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.58 : 22,432.92 = 9,449.94 : x
  2. Step 2: Convert to fraction form
    16,256.58/22,432.92 = 9,449.94/x
  3. Step 3: Cross multiply
    16,256.58x = 22,432.92 × 9,449.94
  4. Step 4: Simplify right side
    16,256.58x = 211,989,748.02
  5. Step 5: Solve for x
    x = 211,989,748.02/16,256.58
  6. Step 6: Final answer
    x = 13,040.24

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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.