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Finding the Fourth Proportional to 13,842.78, 19,103.06 and 7,555.16

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Solution

The fourth proportional to 13,842.78, 19,103.06 and 7,555.16 is: 10,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.78 : 19,103.06 = 7,555.16 : x
  2. Step 2: Convert to fraction form
    13,842.78/19,103.06 = 7,555.16/x
  3. Step 3: Cross multiply
    13,842.78x = 19,103.06 × 7,555.16
  4. Step 4: Simplify right side
    13,842.78x = 144,326,565.38
  5. Step 5: Solve for x
    x = 144,326,565.38/13,842.78
  6. Step 6: Final answer
    x = 10,426.12

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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.