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Finding the Fourth Proportional to 16,565.71, 22,852.63 and 9,846.57

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Solution

The fourth proportional to 16,565.71, 22,852.63 and 9,846.57 is: 13,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.71 : 22,852.63 = 9,846.57 : x
  2. Step 2: Convert to fraction form
    16,565.71/22,852.63 = 9,846.57/x
  3. Step 3: Cross multiply
    16,565.71x = 22,852.63 × 9,846.57
  4. Step 4: Simplify right side
    16,565.71x = 225,020,020.98
  5. Step 5: Solve for x
    x = 225,020,020.98/16,565.71
  6. Step 6: Final answer
    x = 13,583.48

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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.