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Finding the Fourth Proportional to 22,154, 30,538.44 and 14,587.28

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Solution

The fourth proportional to 22,154, 30,538.44 and 14,587.28 is: 20,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154 : 30,538.44 = 14,587.28 : x
  2. Step 2: Convert to fraction form
    22,154/30,538.44 = 14,587.28/x
  3. Step 3: Cross multiply
    22,154x = 30,538.44 × 14,587.28
  4. Step 4: Simplify right side
    22,154x = 445,472,775.04
  5. Step 5: Solve for x
    x = 445,472,775.04/22,154
  6. Step 6: Final answer
    x = 20,108.01

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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.