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Finding the Fourth Proportional to 16,580.94, 24,870.59 and 6,191.88

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Solution

The fourth proportional to 16,580.94, 24,870.59 and 6,191.88 is: 9,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.94 : 24,870.59 = 6,191.88 : x
  2. Step 2: Convert to fraction form
    16,580.94/24,870.59 = 6,191.88/x
  3. Step 3: Cross multiply
    16,580.94x = 24,870.59 × 6,191.88
  4. Step 4: Simplify right side
    16,580.94x = 153,995,708.81
  5. Step 5: Solve for x
    x = 153,995,708.81/16,580.94
  6. Step 6: Final answer
    x = 9,287.51

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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.