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Finding the Fourth Proportional to 24,006.64, 36,078 and 14,147.32

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Solution

The fourth proportional to 24,006.64, 36,078 and 14,147.32 is: 21,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.64 : 36,078 = 14,147.32 : x
  2. Step 2: Convert to fraction form
    24,006.64/36,078 = 14,147.32/x
  3. Step 3: Cross multiply
    24,006.64x = 36,078 × 14,147.32
  4. Step 4: Simplify right side
    24,006.64x = 510,407,010.96
  5. Step 5: Solve for x
    x = 510,407,010.96/24,006.64
  6. Step 6: Final answer
    x = 21,261.08

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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.