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Finding the Fourth Proportional to 13,842.16, 19,102.32 and 7,554.64

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Solution

The fourth proportional to 13,842.16, 19,102.32 and 7,554.64 is: 10,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.16 : 19,102.32 = 7,554.64 : x
  2. Step 2: Convert to fraction form
    13,842.16/19,102.32 = 7,554.64/x
  3. Step 3: Cross multiply
    13,842.16x = 19,102.32 × 7,554.64
  4. Step 4: Simplify right side
    13,842.16x = 144,311,150.76
  5. Step 5: Solve for x
    x = 144,311,150.76/13,842.16
  6. Step 6: Final answer
    x = 10,425.48

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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.