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Finding the Fourth Proportional to 13,817.96, 19,068.78 and 7,530.32

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Solution

The fourth proportional to 13,817.96, 19,068.78 and 7,530.32 is: 10,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.96 : 19,068.78 = 7,530.32 : x
  2. Step 2: Convert to fraction form
    13,817.96/19,068.78 = 7,530.32/x
  3. Step 3: Cross multiply
    13,817.96x = 19,068.78 × 7,530.32
  4. Step 4: Simplify right side
    13,817.96x = 143,594,015.41
  5. Step 5: Solve for x
    x = 143,594,015.41/13,817.96
  6. Step 6: Final answer
    x = 10,391.84

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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.