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Finding the Fourth Proportional to 22,809.42, 34,228.71 and 9,667.98

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Solution

The fourth proportional to 22,809.42, 34,228.71 and 9,667.98 is: 14,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.42 : 34,228.71 = 9,667.98 : x
  2. Step 2: Convert to fraction form
    22,809.42/34,228.71 = 9,667.98/x
  3. Step 3: Cross multiply
    22,809.42x = 34,228.71 × 9,667.98
  4. Step 4: Simplify right side
    22,809.42x = 330,922,483.71
  5. Step 5: Solve for x
    x = 330,922,483.71/22,809.42
  6. Step 6: Final answer
    x = 14,508.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.