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Finding the Fourth Proportional to 14,232, 19,639.74 and 8,263.26

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Solution

The fourth proportional to 14,232, 19,639.74 and 8,263.26 is: 11,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232 : 19,639.74 = 8,263.26 : x
  2. Step 2: Convert to fraction form
    14,232/19,639.74 = 8,263.26/x
  3. Step 3: Cross multiply
    14,232x = 19,639.74 × 8,263.26
  4. Step 4: Simplify right side
    14,232x = 162,288,277.95
  5. Step 5: Solve for x
    x = 162,288,277.95/14,232
  6. Step 6: Final answer
    x = 11,403.05

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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.