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Finding the Fourth Proportional to 27,688.96, 38,210.56 and 16,509.44

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Solution

The fourth proportional to 27,688.96, 38,210.56 and 16,509.44 is: 22,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.96 : 38,210.56 = 16,509.44 : x
  2. Step 2: Convert to fraction form
    27,688.96/38,210.56 = 16,509.44/x
  3. Step 3: Cross multiply
    27,688.96x = 38,210.56 × 16,509.44
  4. Step 4: Simplify right side
    27,688.96x = 630,834,947.69
  5. Step 5: Solve for x
    x = 630,834,947.69/27,688.96
  6. Step 6: Final answer
    x = 22,782.91

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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.