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Finding the Fourth Proportional to 14,342.56, 19,792.56 and 8,056

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Solution

The fourth proportional to 14,342.56, 19,792.56 and 8,056 is: 11,117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.56 : 19,792.56 = 8,056 : x
  2. Step 2: Convert to fraction form
    14,342.56/19,792.56 = 8,056/x
  3. Step 3: Cross multiply
    14,342.56x = 19,792.56 × 8,056
  4. Step 4: Simplify right side
    14,342.56x = 159,448,863.36
  5. Step 5: Solve for x
    x = 159,448,863.36/14,342.56
  6. Step 6: Final answer
    x = 11,117.18

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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.