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Finding the Fourth Proportional to 14,967.62, 22,457.90 and 8,034.02

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Solution

The fourth proportional to 14,967.62, 22,457.90 and 8,034.02 is: 12,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.62 : 22,457.90 = 8,034.02 : x
  2. Step 2: Convert to fraction form
    14,967.62/22,457.90 = 8,034.02/x
  3. Step 3: Cross multiply
    14,967.62x = 22,457.90 × 8,034.02
  4. Step 4: Simplify right side
    14,967.62x = 180,427,217.76
  5. Step 5: Solve for x
    x = 180,427,217.76/14,967.62
  6. Step 6: Final answer
    x = 12,054.50

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Why These Related Problems?

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