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Finding the Fourth Proportional to 14,237.84, 19,648.36 and 8,267.32

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Solution

The fourth proportional to 14,237.84, 19,648.36 and 8,267.32 is: 11,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.84 : 19,648.36 = 8,267.32 : x
  2. Step 2: Convert to fraction form
    14,237.84/19,648.36 = 8,267.32/x
  3. Step 3: Cross multiply
    14,237.84x = 19,648.36 × 8,267.32
  4. Step 4: Simplify right side
    14,237.84x = 162,439,279.60
  5. Step 5: Solve for x
    x = 162,439,279.60/14,237.84
  6. Step 6: Final answer
    x = 11,408.98

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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.