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Finding the Fourth Proportional to 12,987.84, 19,463.83 and 7,429.46

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Solution

The fourth proportional to 12,987.84, 19,463.83 and 7,429.46 is: 11,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.84 : 19,463.83 = 7,429.46 : x
  2. Step 2: Convert to fraction form
    12,987.84/19,463.83 = 7,429.46/x
  3. Step 3: Cross multiply
    12,987.84x = 19,463.83 × 7,429.46
  4. Step 4: Simplify right side
    12,987.84x = 144,605,630.54
  5. Step 5: Solve for x
    x = 144,605,630.54/12,987.84
  6. Step 6: Final answer
    x = 11,133.92

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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.