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Finding the Fourth Proportional to 16,535.12, 22,817.40 and 9,460.40

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Solution

The fourth proportional to 16,535.12, 22,817.40 and 9,460.40 is: 13,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.12 : 22,817.40 = 9,460.40 : x
  2. Step 2: Convert to fraction form
    16,535.12/22,817.40 = 9,460.40/x
  3. Step 3: Cross multiply
    16,535.12x = 22,817.40 × 9,460.40
  4. Step 4: Simplify right side
    16,535.12x = 215,861,730.96
  5. Step 5: Solve for x
    x = 215,861,730.96/16,535.12
  6. Step 6: Final answer
    x = 13,054.74

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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.