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Finding the Fourth Proportional to 12,643.20, 17,726.40 and 12,643.20

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Solution

The fourth proportional to 12,643.20, 17,726.40 and 12,643.20 is: 17,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.20 : 17,726.40 = 12,643.20 : x
  2. Step 2: Convert to fraction form
    12,643.20/17,726.40 = 12,643.20/x
  3. Step 3: Cross multiply
    12,643.20x = 17,726.40 × 12,643.20
  4. Step 4: Simplify right side
    12,643.20x = 224,118,420.48
  5. Step 5: Solve for x
    x = 224,118,420.48/12,643.20
  6. Step 6: Final answer
    x = 17,726.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.