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Finding the Fourth Proportional to 21,624.75, 29,842.16 and 11,688.75

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Solution

The fourth proportional to 21,624.75, 29,842.16 and 11,688.75 is: 16,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.75 : 29,842.16 = 11,688.75 : x
  2. Step 2: Convert to fraction form
    21,624.75/29,842.16 = 11,688.75/x
  3. Step 3: Cross multiply
    21,624.75x = 29,842.16 × 11,688.75
  4. Step 4: Simplify right side
    21,624.75x = 348,817,489.26
  5. Step 5: Solve for x
    x = 348,817,489.26/21,624.75
  6. Step 6: Final answer
    x = 16,130.48

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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.