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Finding the Fourth Proportional to 27,846.83, 38,430.65 and 15,909.90

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Solution

The fourth proportional to 27,846.83, 38,430.65 and 15,909.90 is: 21,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.83 : 38,430.65 = 15,909.90 : x
  2. Step 2: Convert to fraction form
    27,846.83/38,430.65 = 15,909.90/x
  3. Step 3: Cross multiply
    27,846.83x = 38,430.65 × 15,909.90
  4. Step 4: Simplify right side
    27,846.83x = 611,427,718.89
  5. Step 5: Solve for x
    x = 611,427,718.89/27,846.83
  6. Step 6: Final answer
    x = 21,956.82

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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.