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Finding the Fourth Proportional to 15,746.22, 23,593.82 and 9,892.35

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Solution

The fourth proportional to 15,746.22, 23,593.82 and 9,892.35 is: 14,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.22 : 23,593.82 = 9,892.35 : x
  2. Step 2: Convert to fraction form
    15,746.22/23,593.82 = 9,892.35/x
  3. Step 3: Cross multiply
    15,746.22x = 23,593.82 × 9,892.35
  4. Step 4: Simplify right side
    15,746.22x = 233,398,275.82
  5. Step 5: Solve for x
    x = 233,398,275.82/15,746.22
  6. Step 6: Final answer
    x = 14,822.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.