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Finding the Fourth Proportional to 16,894.70, 23,312.94 and 9,820.52

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Solution

The fourth proportional to 16,894.70, 23,312.94 and 9,820.52 is: 13,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.70 : 23,312.94 = 9,820.52 : x
  2. Step 2: Convert to fraction form
    16,894.70/23,312.94 = 9,820.52/x
  3. Step 3: Cross multiply
    16,894.70x = 23,312.94 × 9,820.52
  4. Step 4: Simplify right side
    16,894.70x = 228,945,193.53
  5. Step 5: Solve for x
    x = 228,945,193.53/16,894.70
  6. Step 6: Final answer
    x = 13,551.30

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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.