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Finding the Fourth Proportional to 21,404.07, 32,106 and 5,821.65

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Solution

The fourth proportional to 21,404.07, 32,106 and 5,821.65 is: 8,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404.07 : 32,106 = 5,821.65 : x
  2. Step 2: Convert to fraction form
    21,404.07/32,106 = 5,821.65/x
  3. Step 3: Cross multiply
    21,404.07x = 32,106 × 5,821.65
  4. Step 4: Simplify right side
    21,404.07x = 186,909,894.90
  5. Step 5: Solve for x
    x = 186,909,894.90/21,404.07
  6. Step 6: Final answer
    x = 8,732.45

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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.