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Finding the Fourth Proportional to 27,783.48, 38,347.45 and 17,709.92

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Solution

The fourth proportional to 27,783.48, 38,347.45 and 17,709.92 is: 24,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.48 : 38,347.45 = 17,709.92 : x
  2. Step 2: Convert to fraction form
    27,783.48/38,347.45 = 17,709.92/x
  3. Step 3: Cross multiply
    27,783.48x = 38,347.45 × 17,709.92
  4. Step 4: Simplify right side
    27,783.48x = 679,130,035.69
  5. Step 5: Solve for x
    x = 679,130,035.69/27,783.48
  6. Step 6: Final answer
    x = 24,443.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.