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Finding the Fourth Proportional to 27,417.72, 41,127.66 and 12,421.92

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Solution

The fourth proportional to 27,417.72, 41,127.66 and 12,421.92 is: 18,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.72 : 41,127.66 = 12,421.92 : x
  2. Step 2: Convert to fraction form
    27,417.72/41,127.66 = 12,421.92/x
  3. Step 3: Cross multiply
    27,417.72x = 41,127.66 × 12,421.92
  4. Step 4: Simplify right side
    27,417.72x = 510,884,502.31
  5. Step 5: Solve for x
    x = 510,884,502.31/27,417.72
  6. Step 6: Final answer
    x = 18,633.37

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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.