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Finding the Fourth Proportional to 13,842.16, 19,102.38 and 7,554.40

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Solution

The fourth proportional to 13,842.16, 19,102.38 and 7,554.40 is: 10,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.16 : 19,102.38 = 7,554.40 : x
  2. Step 2: Convert to fraction form
    13,842.16/19,102.38 = 7,554.40/x
  3. Step 3: Cross multiply
    13,842.16x = 19,102.38 × 7,554.40
  4. Step 4: Simplify right side
    13,842.16x = 144,307,019.47
  5. Step 5: Solve for x
    x = 144,307,019.47/13,842.16
  6. Step 6: Final answer
    x = 10,425.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.