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Finding the Fourth Proportional to 13,989.96, 19,305.27 and 7,702.34

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Solution

The fourth proportional to 13,989.96, 19,305.27 and 7,702.34 is: 10,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.96 : 19,305.27 = 7,702.34 : x
  2. Step 2: Convert to fraction form
    13,989.96/19,305.27 = 7,702.34/x
  3. Step 3: Cross multiply
    13,989.96x = 19,305.27 × 7,702.34
  4. Step 4: Simplify right side
    13,989.96x = 148,695,656.81
  5. Step 5: Solve for x
    x = 148,695,656.81/13,989.96
  6. Step 6: Final answer
    x = 10,628.74

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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.