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Finding the Fourth Proportional to 19,031.68, 26,265.36 and 10,648

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Solution

The fourth proportional to 19,031.68, 26,265.36 and 10,648 is: 14,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,031.68 : 26,265.36 = 10,648 : x
  2. Step 2: Convert to fraction form
    19,031.68/26,265.36 = 10,648/x
  3. Step 3: Cross multiply
    19,031.68x = 26,265.36 × 10,648
  4. Step 4: Simplify right side
    19,031.68x = 279,673,553.28
  5. Step 5: Solve for x
    x = 279,673,553.28/19,031.68
  6. Step 6: Final answer
    x = 14,695.16

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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.