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Finding the Fourth Proportional to 26,534, 36,614.52 and 14,597.84

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Solution

The fourth proportional to 26,534, 36,614.52 and 14,597.84 is: 20,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534 : 36,614.52 = 14,597.84 : x
  2. Step 2: Convert to fraction form
    26,534/36,614.52 = 14,597.84/x
  3. Step 3: Cross multiply
    26,534x = 36,614.52 × 14,597.84
  4. Step 4: Simplify right side
    26,534x = 534,492,904.64
  5. Step 5: Solve for x
    x = 534,492,904.64/26,534
  6. Step 6: Final answer
    x = 20,143.70

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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.