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Finding the Fourth Proportional to 14,232.64, 19,642.80 and 8,567.68

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Solution

The fourth proportional to 14,232.64, 19,642.80 and 8,567.68 is: 11,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.64 : 19,642.80 = 8,567.68 : x
  2. Step 2: Convert to fraction form
    14,232.64/19,642.80 = 8,567.68/x
  3. Step 3: Cross multiply
    14,232.64x = 19,642.80 × 8,567.68
  4. Step 4: Simplify right side
    14,232.64x = 168,293,224.70
  5. Step 5: Solve for x
    x = 168,293,224.70/14,232.64
  6. Step 6: Final answer
    x = 11,824.46

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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.