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Finding the Fourth Proportional to 14,340.75, 21,465.06 and 7,660.55

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Solution

The fourth proportional to 14,340.75, 21,465.06 and 7,660.55 is: 11,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.75 : 21,465.06 = 7,660.55 : x
  2. Step 2: Convert to fraction form
    14,340.75/21,465.06 = 7,660.55/x
  3. Step 3: Cross multiply
    14,340.75x = 21,465.06 × 7,660.55
  4. Step 4: Simplify right side
    14,340.75x = 164,434,058.06
  5. Step 5: Solve for x
    x = 164,434,058.06/14,340.75
  6. Step 6: Final answer
    x = 11,466.21

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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.