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Finding the Fourth Proportional to 14,451.56, 21,678.35 and 6,130.63

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Solution

The fourth proportional to 14,451.56, 21,678.35 and 6,130.63 is: 9,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.56 : 21,678.35 = 6,130.63 : x
  2. Step 2: Convert to fraction form
    14,451.56/21,678.35 = 6,130.63/x
  3. Step 3: Cross multiply
    14,451.56x = 21,678.35 × 6,130.63
  4. Step 4: Simplify right side
    14,451.56x = 132,901,942.86
  5. Step 5: Solve for x
    x = 132,901,942.86/14,451.56
  6. Step 6: Final answer
    x = 9,196.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.