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Finding the Fourth Proportional to 14,648.50, 21,985.03 and 6,334.86

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Solution

The fourth proportional to 14,648.50, 21,985.03 and 6,334.86 is: 9,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.50 : 21,985.03 = 6,334.86 : x
  2. Step 2: Convert to fraction form
    14,648.50/21,985.03 = 6,334.86/x
  3. Step 3: Cross multiply
    14,648.50x = 21,985.03 × 6,334.86
  4. Step 4: Simplify right side
    14,648.50x = 139,272,087.15
  5. Step 5: Solve for x
    x = 139,272,087.15/14,648.50
  6. Step 6: Final answer
    x = 9,507.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.