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Finding the Fourth Proportional to 26,501.86, 36,572.14 and 14,564.94

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Solution

The fourth proportional to 26,501.86, 36,572.14 and 14,564.94 is: 20,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.86 : 36,572.14 = 14,564.94 : x
  2. Step 2: Convert to fraction form
    26,501.86/36,572.14 = 14,564.94/x
  3. Step 3: Cross multiply
    26,501.86x = 36,572.14 × 14,564.94
  4. Step 4: Simplify right side
    26,501.86x = 532,670,816.17
  5. Step 5: Solve for x
    x = 532,670,816.17/26,501.86
  6. Step 6: Final answer
    x = 20,099.38

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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.