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Finding the Fourth Proportional to 21,573.63, 32,364.14 and 9,887.85

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Solution

The fourth proportional to 21,573.63, 32,364.14 and 9,887.85 is: 14,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.63 : 32,364.14 = 9,887.85 : x
  2. Step 2: Convert to fraction form
    21,573.63/32,364.14 = 9,887.85/x
  3. Step 3: Cross multiply
    21,573.63x = 32,364.14 × 9,887.85
  4. Step 4: Simplify right side
    21,573.63x = 320,011,712.26
  5. Step 5: Solve for x
    x = 320,011,712.26/21,573.63
  6. Step 6: Final answer
    x = 14,833.47

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