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Finding the Fourth Proportional to 14,047.38, 19,345.92 and 13,741.20

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Solution

The fourth proportional to 14,047.38, 19,345.92 and 13,741.20 is: 18,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.38 : 19,345.92 = 13,741.20 : x
  2. Step 2: Convert to fraction form
    14,047.38/19,345.92 = 13,741.20/x
  3. Step 3: Cross multiply
    14,047.38x = 19,345.92 × 13,741.20
  4. Step 4: Simplify right side
    14,047.38x = 265,836,155.90
  5. Step 5: Solve for x
    x = 265,836,155.90/14,047.38
  6. Step 6: Final answer
    x = 18,924.25

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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.