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Finding the Fourth Proportional to 26,527.38, 36,607.71 and 14,590.86

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Solution

The fourth proportional to 26,527.38, 36,607.71 and 14,590.86 is: 20,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,527.38 : 36,607.71 = 14,590.86 : x
  2. Step 2: Convert to fraction form
    26,527.38/36,607.71 = 14,590.86/x
  3. Step 3: Cross multiply
    26,527.38x = 36,607.71 × 14,590.86
  4. Step 4: Simplify right side
    26,527.38x = 534,137,971.53
  5. Step 5: Solve for x
    x = 534,137,971.53/26,527.38
  6. Step 6: Final answer
    x = 20,135.35

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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.