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Finding the Fourth Proportional to 14,358.08, 21,491.01 and 7,677.86

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Solution

The fourth proportional to 14,358.08, 21,491.01 and 7,677.86 is: 11,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.08 : 21,491.01 = 7,677.86 : x
  2. Step 2: Convert to fraction form
    14,358.08/21,491.01 = 7,677.86/x
  3. Step 3: Cross multiply
    14,358.08x = 21,491.01 × 7,677.86
  4. Step 4: Simplify right side
    14,358.08x = 165,004,858.58
  5. Step 5: Solve for x
    x = 165,004,858.58/14,358.08
  6. Step 6: Final answer
    x = 11,492.13

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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.