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Finding the Fourth Proportional to 15,632.06, 21,574.31 and 8,916.15

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Solution

The fourth proportional to 15,632.06, 21,574.31 and 8,916.15 is: 12,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.06 : 21,574.31 = 8,916.15 : x
  2. Step 2: Convert to fraction form
    15,632.06/21,574.31 = 8,916.15/x
  3. Step 3: Cross multiply
    15,632.06x = 21,574.31 × 8,916.15
  4. Step 4: Simplify right side
    15,632.06x = 192,359,739.53
  5. Step 5: Solve for x
    x = 192,359,739.53/15,632.06
  6. Step 6: Final answer
    x = 12,305.46

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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.