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Finding the Fourth Proportional to 14,278.76, 19,702.34 and 8,969.81

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Solution

The fourth proportional to 14,278.76, 19,702.34 and 8,969.81 is: 12,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.76 : 19,702.34 = 8,969.81 : x
  2. Step 2: Convert to fraction form
    14,278.76/19,702.34 = 8,969.81/x
  3. Step 3: Cross multiply
    14,278.76x = 19,702.34 × 8,969.81
  4. Step 4: Simplify right side
    14,278.76x = 176,726,250.76
  5. Step 5: Solve for x
    x = 176,726,250.76/14,278.76
  6. Step 6: Final answer
    x = 12,376.87

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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.