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Finding the Fourth Proportional to 15,515.71, 21,408.41 and 10,146.02

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Solution

The fourth proportional to 15,515.71, 21,408.41 and 10,146.02 is: 13,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,515.71 : 21,408.41 = 10,146.02 : x
  2. Step 2: Convert to fraction form
    15,515.71/21,408.41 = 10,146.02/x
  3. Step 3: Cross multiply
    15,515.71x = 21,408.41 × 10,146.02
  4. Step 4: Simplify right side
    15,515.71x = 217,210,106.03
  5. Step 5: Solve for x
    x = 217,210,106.03/15,515.71
  6. Step 6: Final answer
    x = 13,999.37

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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.