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Finding the Fourth Proportional to 17,927.86, 26,854.80 and 10,509.79

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Solution

The fourth proportional to 17,927.86, 26,854.80 and 10,509.79 is: 15,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.86 : 26,854.80 = 10,509.79 : x
  2. Step 2: Convert to fraction form
    17,927.86/26,854.80 = 10,509.79/x
  3. Step 3: Cross multiply
    17,927.86x = 26,854.80 × 10,509.79
  4. Step 4: Simplify right side
    17,927.86x = 282,238,308.49
  5. Step 5: Solve for x
    x = 282,238,308.49/17,927.86
  6. Step 6: Final answer
    x = 15,743.00

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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.