Home / 13,827.64-19,082.14-7,540

Finding the Fourth Proportional to 13,827.64, 19,082.14 and 7,540

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Solution

The fourth proportional to 13,827.64, 19,082.14 and 7,540 is: 10,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.64 : 19,082.14 = 7,540 : x
  2. Step 2: Convert to fraction form
    13,827.64/19,082.14 = 7,540/x
  3. Step 3: Cross multiply
    13,827.64x = 19,082.14 × 7,540
  4. Step 4: Simplify right side
    13,827.64x = 143,879,335.60
  5. Step 5: Solve for x
    x = 143,879,335.60/13,827.64
  6. Step 6: Final answer
    x = 10,405.20

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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.