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Finding the Fourth Proportional to 26,495.89, 36,564.32 and 14,560

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Solution

The fourth proportional to 26,495.89, 36,564.32 and 14,560 is: 20,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,495.89 : 36,564.32 = 14,560 : x
  2. Step 2: Convert to fraction form
    26,495.89/36,564.32 = 14,560/x
  3. Step 3: Cross multiply
    26,495.89x = 36,564.32 × 14,560
  4. Step 4: Simplify right side
    26,495.89x = 532,376,499.20
  5. Step 5: Solve for x
    x = 532,376,499.20/26,495.89
  6. Step 6: Final answer
    x = 20,092.80

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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.