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Finding the Fourth Proportional to 16,434.84, 22,652.46 and 12,454.68

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Solution

The fourth proportional to 16,434.84, 22,652.46 and 12,454.68 is: 17,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.84 : 22,652.46 = 12,454.68 : x
  2. Step 2: Convert to fraction form
    16,434.84/22,652.46 = 12,454.68/x
  3. Step 3: Cross multiply
    16,434.84x = 22,652.46 × 12,454.68
  4. Step 4: Simplify right side
    16,434.84x = 282,129,140.51
  5. Step 5: Solve for x
    x = 282,129,140.51/16,434.84
  6. Step 6: Final answer
    x = 17,166.53

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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.