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Finding the Fourth Proportional to 16,157.80, 22,298.25 and 9,448.30

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Solution

The fourth proportional to 16,157.80, 22,298.25 and 9,448.30 is: 13,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.80 : 22,298.25 = 9,448.30 : x
  2. Step 2: Convert to fraction form
    16,157.80/22,298.25 = 9,448.30/x
  3. Step 3: Cross multiply
    16,157.80x = 22,298.25 × 9,448.30
  4. Step 4: Simplify right side
    16,157.80x = 210,680,555.48
  5. Step 5: Solve for x
    x = 210,680,555.48/16,157.80
  6. Step 6: Final answer
    x = 13,038.94

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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.