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Finding the Fourth Proportional to 26,077.76, 35,988 and 14,749.28

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Solution

The fourth proportional to 26,077.76, 35,988 and 14,749.28 is: 20,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,077.76 : 35,988 = 14,749.28 : x
  2. Step 2: Convert to fraction form
    26,077.76/35,988 = 14,749.28/x
  3. Step 3: Cross multiply
    26,077.76x = 35,988 × 14,749.28
  4. Step 4: Simplify right side
    26,077.76x = 530,797,088.64
  5. Step 5: Solve for x
    x = 530,797,088.64/26,077.76
  6. Step 6: Final answer
    x = 20,354.40

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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.