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Finding the Fourth Proportional to 29,582.84, 40,824.52 and 16,154.19

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Solution

The fourth proportional to 29,582.84, 40,824.52 and 16,154.19 is: 22,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582.84 : 40,824.52 = 16,154.19 : x
  2. Step 2: Convert to fraction form
    29,582.84/40,824.52 = 16,154.19/x
  3. Step 3: Cross multiply
    29,582.84x = 40,824.52 × 16,154.19
  4. Step 4: Simplify right side
    29,582.84x = 659,487,012.35
  5. Step 5: Solve for x
    x = 659,487,012.35/29,582.84
  6. Step 6: Final answer
    x = 22,292.89

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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.