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Finding the Fourth Proportional to 14,157.12, 19,503.06 and 9,900.22

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Solution

The fourth proportional to 14,157.12, 19,503.06 and 9,900.22 is: 13,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.12 : 19,503.06 = 9,900.22 : x
  2. Step 2: Convert to fraction form
    14,157.12/19,503.06 = 9,900.22/x
  3. Step 3: Cross multiply
    14,157.12x = 19,503.06 × 9,900.22
  4. Step 4: Simplify right side
    14,157.12x = 193,084,584.67
  5. Step 5: Solve for x
    x = 193,084,584.67/14,157.12
  6. Step 6: Final answer
    x = 13,638.69

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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.