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Finding the Fourth Proportional to 14,119.76, 19,485.28 and 7,832.13

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Solution

The fourth proportional to 14,119.76, 19,485.28 and 7,832.13 is: 10,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.76 : 19,485.28 = 7,832.13 : x
  2. Step 2: Convert to fraction form
    14,119.76/19,485.28 = 7,832.13/x
  3. Step 3: Cross multiply
    14,119.76x = 19,485.28 × 7,832.13
  4. Step 4: Simplify right side
    14,119.76x = 152,611,226.47
  5. Step 5: Solve for x
    x = 152,611,226.47/14,119.76
  6. Step 6: Final answer
    x = 10,808.35

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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.