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Finding the Fourth Proportional to 16,281.56, 22,460.78 and 9,475.58

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Solution

The fourth proportional to 16,281.56, 22,460.78 and 9,475.58 is: 13,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.56 : 22,460.78 = 9,475.58 : x
  2. Step 2: Convert to fraction form
    16,281.56/22,460.78 = 9,475.58/x
  3. Step 3: Cross multiply
    16,281.56x = 22,460.78 × 9,475.58
  4. Step 4: Simplify right side
    16,281.56x = 212,828,917.75
  5. Step 5: Solve for x
    x = 212,828,917.75/16,281.56
  6. Step 6: Final answer
    x = 13,071.78

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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.