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Finding the Fourth Proportional to 14,254.74, 19,671.21 and 8,288.49

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Solution

The fourth proportional to 14,254.74, 19,671.21 and 8,288.49 is: 11,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.74 : 19,671.21 = 8,288.49 : x
  2. Step 2: Convert to fraction form
    14,254.74/19,671.21 = 8,288.49/x
  3. Step 3: Cross multiply
    14,254.74x = 19,671.21 × 8,288.49
  4. Step 4: Simplify right side
    14,254.74x = 163,044,627.37
  5. Step 5: Solve for x
    x = 163,044,627.37/14,254.74
  6. Step 6: Final answer
    x = 11,437.92

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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.