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Finding the Fourth Proportional to 24,329, 33,574.56 and 14,902.76

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Solution

The fourth proportional to 24,329, 33,574.56 and 14,902.76 is: 20,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329 : 33,574.56 = 14,902.76 : x
  2. Step 2: Convert to fraction form
    24,329/33,574.56 = 14,902.76/x
  3. Step 3: Cross multiply
    24,329x = 33,574.56 × 14,902.76
  4. Step 4: Simplify right side
    24,329x = 500,353,609.79
  5. Step 5: Solve for x
    x = 500,353,609.79/24,329
  6. Step 6: Final answer
    x = 20,566.14

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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.