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Finding the Fourth Proportional to 27,699.32, 41,561.16 and 14,548.64

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Solution

The fourth proportional to 27,699.32, 41,561.16 and 14,548.64 is: 21,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,699.32 : 41,561.16 = 14,548.64 : x
  2. Step 2: Convert to fraction form
    27,699.32/41,561.16 = 14,548.64/x
  3. Step 3: Cross multiply
    27,699.32x = 41,561.16 × 14,548.64
  4. Step 4: Simplify right side
    27,699.32x = 604,658,354.82
  5. Step 5: Solve for x
    x = 604,658,354.82/27,699.32
  6. Step 6: Final answer
    x = 21,829.36

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