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Finding the Fourth Proportional to 14,968.10, 20,656.14 and 8,253.74

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Solution

The fourth proportional to 14,968.10, 20,656.14 and 8,253.74 is: 11,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.10 : 20,656.14 = 8,253.74 : x
  2. Step 2: Convert to fraction form
    14,968.10/20,656.14 = 8,253.74/x
  3. Step 3: Cross multiply
    14,968.10x = 20,656.14 × 8,253.74
  4. Step 4: Simplify right side
    14,968.10x = 170,490,408.96
  5. Step 5: Solve for x
    x = 170,490,408.96/14,968.10
  6. Step 6: Final answer
    x = 11,390.25

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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.