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Finding the Fourth Proportional to 12,480, 17,223.40 and 7,764.99

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Solution

The fourth proportional to 12,480, 17,223.40 and 7,764.99 is: 10,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480 : 17,223.40 = 7,764.99 : x
  2. Step 2: Convert to fraction form
    12,480/17,223.40 = 7,764.99/x
  3. Step 3: Cross multiply
    12,480x = 17,223.40 × 7,764.99
  4. Step 4: Simplify right side
    12,480x = 133,739,528.77
  5. Step 5: Solve for x
    x = 133,739,528.77/12,480
  6. Step 6: Final answer
    x = 10,716.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.