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Finding the Fourth Proportional to 14,289.42, 19,719.44 and 8,325.18

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Solution

The fourth proportional to 14,289.42, 19,719.44 and 8,325.18 is: 11,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.42 : 19,719.44 = 8,325.18 : x
  2. Step 2: Convert to fraction form
    14,289.42/19,719.44 = 8,325.18/x
  3. Step 3: Cross multiply
    14,289.42x = 19,719.44 × 8,325.18
  4. Step 4: Simplify right side
    14,289.42x = 164,167,887.50
  5. Step 5: Solve for x
    x = 164,167,887.50/14,289.42
  6. Step 6: Final answer
    x = 11,488.77

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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.