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Finding the Fourth Proportional to 14,364.48, 19,813.24 and 9,319.69

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Solution

The fourth proportional to 14,364.48, 19,813.24 and 9,319.69 is: 12,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.48 : 19,813.24 = 9,319.69 : x
  2. Step 2: Convert to fraction form
    14,364.48/19,813.24 = 9,319.69/x
  3. Step 3: Cross multiply
    14,364.48x = 19,813.24 × 9,319.69
  4. Step 4: Simplify right side
    14,364.48x = 184,653,181.86
  5. Step 5: Solve for x
    x = 184,653,181.86/14,364.48
  6. Step 6: Final answer
    x = 12,854.85

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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.