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Finding the Fourth Proportional to 14,041.32, 19,377.03 and 7,668

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Solution

The fourth proportional to 14,041.32, 19,377.03 and 7,668 is: 10,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,041.32 : 19,377.03 = 7,668 : x
  2. Step 2: Convert to fraction form
    14,041.32/19,377.03 = 7,668/x
  3. Step 3: Cross multiply
    14,041.32x = 19,377.03 × 7,668
  4. Step 4: Simplify right side
    14,041.32x = 148,583,066.04
  5. Step 5: Solve for x
    x = 148,583,066.04/14,041.32
  6. Step 6: Final answer
    x = 10,581.84

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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.