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Finding the Fourth Proportional to 21,894.60, 32,820.30 and 8,729.40

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Solution

The fourth proportional to 21,894.60, 32,820.30 and 8,729.40 is: 13,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.60 : 32,820.30 = 8,729.40 : x
  2. Step 2: Convert to fraction form
    21,894.60/32,820.30 = 8,729.40/x
  3. Step 3: Cross multiply
    21,894.60x = 32,820.30 × 8,729.40
  4. Step 4: Simplify right side
    21,894.60x = 286,501,526.82
  5. Step 5: Solve for x
    x = 286,501,526.82/21,894.60
  6. Step 6: Final answer
    x = 13,085.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.