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Finding the Fourth Proportional to 14,893.60, 22,314.80 and 9,696.80

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Solution

The fourth proportional to 14,893.60, 22,314.80 and 9,696.80 is: 14,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.60 : 22,314.80 = 9,696.80 : x
  2. Step 2: Convert to fraction form
    14,893.60/22,314.80 = 9,696.80/x
  3. Step 3: Cross multiply
    14,893.60x = 22,314.80 × 9,696.80
  4. Step 4: Simplify right side
    14,893.60x = 216,382,152.64
  5. Step 5: Solve for x
    x = 216,382,152.64/14,893.60
  6. Step 6: Final answer
    x = 14,528.53

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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.