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Finding the Fourth Proportional to 14,224.16, 19,632.12 and 8,256.08

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Solution

The fourth proportional to 14,224.16, 19,632.12 and 8,256.08 is: 11,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.16 : 19,632.12 = 8,256.08 : x
  2. Step 2: Convert to fraction form
    14,224.16/19,632.12 = 8,256.08/x
  3. Step 3: Cross multiply
    14,224.16x = 19,632.12 × 8,256.08
  4. Step 4: Simplify right side
    14,224.16x = 162,084,353.29
  5. Step 5: Solve for x
    x = 162,084,353.29/14,224.16
  6. Step 6: Final answer
    x = 11,395.00

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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.