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Finding the Fourth Proportional to 13,990.72, 19,308 and 7,703.20

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Solution

The fourth proportional to 13,990.72, 19,308 and 7,703.20 is: 10,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.72 : 19,308 = 7,703.20 : x
  2. Step 2: Convert to fraction form
    13,990.72/19,308 = 7,703.20/x
  3. Step 3: Cross multiply
    13,990.72x = 19,308 × 7,703.20
  4. Step 4: Simplify right side
    13,990.72x = 148,733,385.60
  5. Step 5: Solve for x
    x = 148,733,385.60/13,990.72
  6. Step 6: Final answer
    x = 10,630.86

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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.