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Finding the Fourth Proportional to 22,476.96, 30,942 and 19,314.72

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Solution

The fourth proportional to 22,476.96, 30,942 and 19,314.72 is: 26,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.96 : 30,942 = 19,314.72 : x
  2. Step 2: Convert to fraction form
    22,476.96/30,942 = 19,314.72/x
  3. Step 3: Cross multiply
    22,476.96x = 30,942 × 19,314.72
  4. Step 4: Simplify right side
    22,476.96x = 597,636,066.24
  5. Step 5: Solve for x
    x = 597,636,066.24/22,476.96
  6. Step 6: Final answer
    x = 26,588.83

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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.