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Finding the Fourth Proportional to 26,471, 36,530.56 and 14,535.16

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Solution

The fourth proportional to 26,471, 36,530.56 and 14,535.16 is: 20,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471 : 36,530.56 = 14,535.16 : x
  2. Step 2: Convert to fraction form
    26,471/36,530.56 = 14,535.16/x
  3. Step 3: Cross multiply
    26,471x = 36,530.56 × 14,535.16
  4. Step 4: Simplify right side
    26,471x = 530,977,534.49
  5. Step 5: Solve for x
    x = 530,977,534.49/26,471
  6. Step 6: Final answer
    x = 20,058.84

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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.