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Finding the Fourth Proportional to 13,921.16, 19,210.98 and 7,633.60

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Solution

The fourth proportional to 13,921.16, 19,210.98 and 7,633.60 is: 10,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.16 : 19,210.98 = 7,633.60 : x
  2. Step 2: Convert to fraction form
    13,921.16/19,210.98 = 7,633.60/x
  3. Step 3: Cross multiply
    13,921.16x = 19,210.98 × 7,633.60
  4. Step 4: Simplify right side
    13,921.16x = 146,648,936.93
  5. Step 5: Solve for x
    x = 146,648,936.93/13,921.16
  6. Step 6: Final answer
    x = 10,534.25

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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.