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Finding the Fourth Proportional to 21,573.76, 32,368.43 and 7,535.86

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Solution

The fourth proportional to 21,573.76, 32,368.43 and 7,535.86 is: 11,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.76 : 32,368.43 = 7,535.86 : x
  2. Step 2: Convert to fraction form
    21,573.76/32,368.43 = 7,535.86/x
  3. Step 3: Cross multiply
    21,573.76x = 32,368.43 × 7,535.86
  4. Step 4: Simplify right side
    21,573.76x = 243,923,956.90
  5. Step 5: Solve for x
    x = 243,923,956.90/21,573.76
  6. Step 6: Final answer
    x = 11,306.51

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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.