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Finding the Fourth Proportional to 26,492.67, 36,560.70 and 14,556.38

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Solution

The fourth proportional to 26,492.67, 36,560.70 and 14,556.38 is: 20,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492.67 : 36,560.70 = 14,556.38 : x
  2. Step 2: Convert to fraction form
    26,492.67/36,560.70 = 14,556.38/x
  3. Step 3: Cross multiply
    26,492.67x = 36,560.70 × 14,556.38
  4. Step 4: Simplify right side
    26,492.67x = 532,191,259.46
  5. Step 5: Solve for x
    x = 532,191,259.46/26,492.67
  6. Step 6: Final answer
    x = 20,088.25

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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.