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Finding the Fourth Proportional to 17,050.34, 25,582.96 and 5,965

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Solution

The fourth proportional to 17,050.34, 25,582.96 and 5,965 is: 8,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,050.34 : 25,582.96 = 5,965 : x
  2. Step 2: Convert to fraction form
    17,050.34/25,582.96 = 5,965/x
  3. Step 3: Cross multiply
    17,050.34x = 25,582.96 × 5,965
  4. Step 4: Simplify right side
    17,050.34x = 152,602,356.40
  5. Step 5: Solve for x
    x = 152,602,356.40/17,050.34
  6. Step 6: Final answer
    x = 8,950.11

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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.