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Finding the Fourth Proportional to 17,114.81, 25,678.58 and 10,464.94

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Solution

The fourth proportional to 17,114.81, 25,678.58 and 10,464.94 is: 15,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.81 : 25,678.58 = 10,464.94 : x
  2. Step 2: Convert to fraction form
    17,114.81/25,678.58 = 10,464.94/x
  3. Step 3: Cross multiply
    17,114.81x = 25,678.58 × 10,464.94
  4. Step 4: Simplify right side
    17,114.81x = 268,724,798.99
  5. Step 5: Solve for x
    x = 268,724,798.99/17,114.81
  6. Step 6: Final answer
    x = 15,701.30

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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.