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Finding the Fourth Proportional to 14,270.79, 21,409.44 and 7,696.83

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Solution

The fourth proportional to 14,270.79, 21,409.44 and 7,696.83 is: 11,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.79 : 21,409.44 = 7,696.83 : x
  2. Step 2: Convert to fraction form
    14,270.79/21,409.44 = 7,696.83/x
  3. Step 3: Cross multiply
    14,270.79x = 21,409.44 × 7,696.83
  4. Step 4: Simplify right side
    14,270.79x = 164,784,820.08
  5. Step 5: Solve for x
    x = 164,784,820.08/14,270.79
  6. Step 6: Final answer
    x = 11,547.00

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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.