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Finding the Fourth Proportional to 14,978.28, 22,461.96 and 5,114.91

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Solution

The fourth proportional to 14,978.28, 22,461.96 and 5,114.91 is: 7,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.28 : 22,461.96 = 5,114.91 : x
  2. Step 2: Convert to fraction form
    14,978.28/22,461.96 = 5,114.91/x
  3. Step 3: Cross multiply
    14,978.28x = 22,461.96 × 5,114.91
  4. Step 4: Simplify right side
    14,978.28x = 114,890,903.82
  5. Step 5: Solve for x
    x = 114,890,903.82/14,978.28
  6. Step 6: Final answer
    x = 7,670.50

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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.