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Finding the Fourth Proportional to 14,978.64, 22,474.42 and 8,045.04

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Solution

The fourth proportional to 14,978.64, 22,474.42 and 8,045.04 is: 12,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.64 : 22,474.42 = 8,045.04 : x
  2. Step 2: Convert to fraction form
    14,978.64/22,474.42 = 8,045.04/x
  3. Step 3: Cross multiply
    14,978.64x = 22,474.42 × 8,045.04
  4. Step 4: Simplify right side
    14,978.64x = 180,807,607.88
  5. Step 5: Solve for x
    x = 180,807,607.88/14,978.64
  6. Step 6: Final answer
    x = 12,071.03

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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.