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Finding the Fourth Proportional to 14,192.96, 19,585.64 and 8,224.16

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Solution

The fourth proportional to 14,192.96, 19,585.64 and 8,224.16 is: 11,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.96 : 19,585.64 = 8,224.16 : x
  2. Step 2: Convert to fraction form
    14,192.96/19,585.64 = 8,224.16/x
  3. Step 3: Cross multiply
    14,192.96x = 19,585.64 × 8,224.16
  4. Step 4: Simplify right side
    14,192.96x = 161,075,437.06
  5. Step 5: Solve for x
    x = 161,075,437.06/14,192.96
  6. Step 6: Final answer
    x = 11,348.97

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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.