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Finding the Fourth Proportional to 26,000, 35,886.40 and 14,828.48

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Solution

The fourth proportional to 26,000, 35,886.40 and 14,828.48 is: 20,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000 : 35,886.40 = 14,828.48 : x
  2. Step 2: Convert to fraction form
    26,000/35,886.40 = 14,828.48/x
  3. Step 3: Cross multiply
    26,000x = 35,886.40 × 14,828.48
  4. Step 4: Simplify right side
    26,000x = 532,140,764.67
  5. Step 5: Solve for x
    x = 532,140,764.67/26,000
  6. Step 6: Final answer
    x = 20,466.95

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1.5x scale

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.