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Finding the Fourth Proportional to 14,429.60, 21,643.68 and 9,224

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Solution

The fourth proportional to 14,429.60, 21,643.68 and 9,224 is: 13,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.60 : 21,643.68 = 9,224 : x
  2. Step 2: Convert to fraction form
    14,429.60/21,643.68 = 9,224/x
  3. Step 3: Cross multiply
    14,429.60x = 21,643.68 × 9,224
  4. Step 4: Simplify right side
    14,429.60x = 199,641,304.32
  5. Step 5: Solve for x
    x = 199,641,304.32/14,429.60
  6. Step 6: Final answer
    x = 13,835.54

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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.