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Finding the Fourth Proportional to 29,586.71, 40,829.33 and 16,158.53

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Solution

The fourth proportional to 29,586.71, 40,829.33 and 16,158.53 is: 22,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586.71 : 40,829.33 = 16,158.53 : x
  2. Step 2: Convert to fraction form
    29,586.71/40,829.33 = 16,158.53/x
  3. Step 3: Cross multiply
    29,586.71x = 40,829.33 × 16,158.53
  4. Step 4: Simplify right side
    29,586.71x = 659,742,096.15
  5. Step 5: Solve for x
    x = 659,742,096.15/29,586.71
  6. Step 6: Final answer
    x = 22,298.59

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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.