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Finding the Fourth Proportional to 14,583.23, 20,122.93 and 8,210.15

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Solution

The fourth proportional to 14,583.23, 20,122.93 and 8,210.15 is: 11,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.23 : 20,122.93 = 8,210.15 : x
  2. Step 2: Convert to fraction form
    14,583.23/20,122.93 = 8,210.15/x
  3. Step 3: Cross multiply
    14,583.23x = 20,122.93 × 8,210.15
  4. Step 4: Simplify right side
    14,583.23x = 165,212,273.74
  5. Step 5: Solve for x
    x = 165,212,273.74/14,583.23
  6. Step 6: Final answer
    x = 11,328.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.