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Finding the Fourth Proportional to 14,978.12, 22,468.44 and 5,113.40

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Solution

The fourth proportional to 14,978.12, 22,468.44 and 5,113.40 is: 7,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.12 : 22,468.44 = 5,113.40 : x
  2. Step 2: Convert to fraction form
    14,978.12/22,468.44 = 5,113.40/x
  3. Step 3: Cross multiply
    14,978.12x = 22,468.44 × 5,113.40
  4. Step 4: Simplify right side
    14,978.12x = 114,890,121.10
  5. Step 5: Solve for x
    x = 114,890,121.10/14,978.12
  6. Step 6: Final answer
    x = 7,670.53

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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.