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Finding the Fourth Proportional to 21,413.01, 32,126.09 and 9,576.74

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Solution

The fourth proportional to 21,413.01, 32,126.09 and 9,576.74 is: 14,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.01 : 32,126.09 = 9,576.74 : x
  2. Step 2: Convert to fraction form
    21,413.01/32,126.09 = 9,576.74/x
  3. Step 3: Cross multiply
    21,413.01x = 32,126.09 × 9,576.74
  4. Step 4: Simplify right side
    21,413.01x = 307,663,145.99
  5. Step 5: Solve for x
    x = 307,663,145.99/21,413.01
  6. Step 6: Final answer
    x = 14,368.05

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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.