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Finding the Fourth Proportional to 26,656, 36,785.28 and 14,880

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Solution

The fourth proportional to 26,656, 36,785.28 and 14,880 is: 20,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,656 : 36,785.28 = 14,880 : x
  2. Step 2: Convert to fraction form
    26,656/36,785.28 = 14,880/x
  3. Step 3: Cross multiply
    26,656x = 36,785.28 × 14,880
  4. Step 4: Simplify right side
    26,656x = 547,364,966.40
  5. Step 5: Solve for x
    x = 547,364,966.40/26,656
  6. Step 6: Final answer
    x = 20,534.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.