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Finding the Fourth Proportional to 26,894.16, 37,113.84 and 14,958

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Solution

The fourth proportional to 26,894.16, 37,113.84 and 14,958 is: 20,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,894.16 : 37,113.84 = 14,958 : x
  2. Step 2: Convert to fraction form
    26,894.16/37,113.84 = 14,958/x
  3. Step 3: Cross multiply
    26,894.16x = 37,113.84 × 14,958
  4. Step 4: Simplify right side
    26,894.16x = 555,148,818.72
  5. Step 5: Solve for x
    x = 555,148,818.72/26,894.16
  6. Step 6: Final answer
    x = 20,641.98

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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.