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Finding the Fourth Proportional to 24,299, 36,428.94 and 10,457.72

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Solution

The fourth proportional to 24,299, 36,428.94 and 10,457.72 is: 15,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,299 : 36,428.94 = 10,457.72 : x
  2. Step 2: Convert to fraction form
    24,299/36,428.94 = 10,457.72/x
  3. Step 3: Cross multiply
    24,299x = 36,428.94 × 10,457.72
  4. Step 4: Simplify right side
    24,299x = 380,963,654.42
  5. Step 5: Solve for x
    x = 380,963,654.42/24,299
  6. Step 6: Final answer
    x = 15,678.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.