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Finding the Fourth Proportional to 13,051.32, 19,574.73 and 4,286.40

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Solution

The fourth proportional to 13,051.32, 19,574.73 and 4,286.40 is: 6,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.32 : 19,574.73 = 4,286.40 : x
  2. Step 2: Convert to fraction form
    13,051.32/19,574.73 = 4,286.40/x
  3. Step 3: Cross multiply
    13,051.32x = 19,574.73 × 4,286.40
  4. Step 4: Simplify right side
    13,051.32x = 83,905,122.67
  5. Step 5: Solve for x
    x = 83,905,122.67/13,051.32
  6. Step 6: Final answer
    x = 6,428.86

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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.