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Finding the Fourth Proportional to 14,669.64, 21,989.88 and 7,160.13

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Solution

The fourth proportional to 14,669.64, 21,989.88 and 7,160.13 is: 10,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,669.64 : 21,989.88 = 7,160.13 : x
  2. Step 2: Convert to fraction form
    14,669.64/21,989.88 = 7,160.13/x
  3. Step 3: Cross multiply
    14,669.64x = 21,989.88 × 7,160.13
  4. Step 4: Simplify right side
    14,669.64x = 157,450,399.48
  5. Step 5: Solve for x
    x = 157,450,399.48/14,669.64
  6. Step 6: Final answer
    x = 10,733.08

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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.