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Finding the Fourth Proportional to 29,582.71, 40,824.35 and 16,154.07

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Solution

The fourth proportional to 29,582.71, 40,824.35 and 16,154.07 is: 22,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582.71 : 40,824.35 = 16,154.07 : x
  2. Step 2: Convert to fraction form
    29,582.71/40,824.35 = 16,154.07/x
  3. Step 3: Cross multiply
    29,582.71x = 40,824.35 × 16,154.07
  4. Step 4: Simplify right side
    29,582.71x = 659,479,407.60
  5. Step 5: Solve for x
    x = 659,479,407.60/29,582.71
  6. Step 6: Final answer
    x = 22,292.73

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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.