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Finding the Fourth Proportional to 14,275.40, 19,697.76 and 8,966.48

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Solution

The fourth proportional to 14,275.40, 19,697.76 and 8,966.48 is: 12,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275.40 : 19,697.76 = 8,966.48 : x
  2. Step 2: Convert to fraction form
    14,275.40/19,697.76 = 8,966.48/x
  3. Step 3: Cross multiply
    14,275.40x = 19,697.76 × 8,966.48
  4. Step 4: Simplify right side
    14,275.40x = 176,619,571.08
  5. Step 5: Solve for x
    x = 176,619,571.08/14,275.40
  6. Step 6: Final answer
    x = 12,372.30

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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.