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Finding the Fourth Proportional to 21,376.68, 29,491.94 and 13,416

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Solution

The fourth proportional to 21,376.68, 29,491.94 and 13,416 is: 18,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376.68 : 29,491.94 = 13,416 : x
  2. Step 2: Convert to fraction form
    21,376.68/29,491.94 = 13,416/x
  3. Step 3: Cross multiply
    21,376.68x = 29,491.94 × 13,416
  4. Step 4: Simplify right side
    21,376.68x = 395,663,867.04
  5. Step 5: Solve for x
    x = 395,663,867.04/21,376.68
  6. Step 6: Final answer
    x = 18,509.14

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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.