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Finding the Fourth Proportional to 26,135, 36,071.16 and 14,957

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Solution

The fourth proportional to 26,135, 36,071.16 and 14,957 is: 20,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,135 : 36,071.16 = 14,957 : x
  2. Step 2: Convert to fraction form
    26,135/36,071.16 = 14,957/x
  3. Step 3: Cross multiply
    26,135x = 36,071.16 × 14,957
  4. Step 4: Simplify right side
    26,135x = 539,516,340.12
  5. Step 5: Solve for x
    x = 539,516,340.12/26,135
  6. Step 6: Final answer
    x = 20,643.44

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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.