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Finding the Fourth Proportional to 16,154.82, 22,291.65 and 9,435.57

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Solution

The fourth proportional to 16,154.82, 22,291.65 and 9,435.57 is: 13,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.82 : 22,291.65 = 9,435.57 : x
  2. Step 2: Convert to fraction form
    16,154.82/22,291.65 = 9,435.57/x
  3. Step 3: Cross multiply
    16,154.82x = 22,291.65 × 9,435.57
  4. Step 4: Simplify right side
    16,154.82x = 210,334,423.99
  5. Step 5: Solve for x
    x = 210,334,423.99/16,154.82
  6. Step 6: Final answer
    x = 13,019.92

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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.