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Finding the Fourth Proportional to 26,465.38, 36,523 and 14,529.50

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Solution

The fourth proportional to 26,465.38, 36,523 and 14,529.50 is: 20,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465.38 : 36,523 = 14,529.50 : x
  2. Step 2: Convert to fraction form
    26,465.38/36,523 = 14,529.50/x
  3. Step 3: Cross multiply
    26,465.38x = 36,523 × 14,529.50
  4. Step 4: Simplify right side
    26,465.38x = 530,660,928.50
  5. Step 5: Solve for x
    x = 530,660,928.50/26,465.38
  6. Step 6: Final answer
    x = 20,051.14

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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.