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Finding the Fourth Proportional to 12,828.96, 17,699.20 and 7,521.84

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Solution

The fourth proportional to 12,828.96, 17,699.20 and 7,521.84 is: 10,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.96 : 17,699.20 = 7,521.84 : x
  2. Step 2: Convert to fraction form
    12,828.96/17,699.20 = 7,521.84/x
  3. Step 3: Cross multiply
    12,828.96x = 17,699.20 × 7,521.84
  4. Step 4: Simplify right side
    12,828.96x = 133,130,550.53
  5. Step 5: Solve for x
    x = 133,130,550.53/12,828.96
  6. Step 6: Final answer
    x = 10,377.35

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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.