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Finding the Fourth Proportional to 13,047.79, 19,574.72 and 4,282.17

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Solution

The fourth proportional to 13,047.79, 19,574.72 and 4,282.17 is: 6,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.79 : 19,574.72 = 4,282.17 : x
  2. Step 2: Convert to fraction form
    13,047.79/19,574.72 = 4,282.17/x
  3. Step 3: Cross multiply
    13,047.79x = 19,574.72 × 4,282.17
  4. Step 4: Simplify right side
    13,047.79x = 83,822,257.33
  5. Step 5: Solve for x
    x = 83,822,257.33/13,047.79
  6. Step 6: Final answer
    x = 6,424.25

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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.