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Finding the Fourth Proportional to 12,565.36, 17,346.60 and 9,726.40

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Solution

The fourth proportional to 12,565.36, 17,346.60 and 9,726.40 is: 13,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.36 : 17,346.60 = 9,726.40 : x
  2. Step 2: Convert to fraction form
    12,565.36/17,346.60 = 9,726.40/x
  3. Step 3: Cross multiply
    12,565.36x = 17,346.60 × 9,726.40
  4. Step 4: Simplify right side
    12,565.36x = 168,719,970.24
  5. Step 5: Solve for x
    x = 168,719,970.24/12,565.36
  6. Step 6: Final answer
    x = 13,427.39

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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.