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Finding the Fourth Proportional to 14,965.86, 22,455.32 and 8,032.26

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Solution

The fourth proportional to 14,965.86, 22,455.32 and 8,032.26 is: 12,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.86 : 22,455.32 = 8,032.26 : x
  2. Step 2: Convert to fraction form
    14,965.86/22,455.32 = 8,032.26/x
  3. Step 3: Cross multiply
    14,965.86x = 22,455.32 × 8,032.26
  4. Step 4: Simplify right side
    14,965.86x = 180,366,928.46
  5. Step 5: Solve for x
    x = 180,366,928.46/14,965.86
  6. Step 6: Final answer
    x = 12,051.89

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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.