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Finding the Fourth Proportional to 14,111.61, 19,475.39 and 7,825.53

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Solution

The fourth proportional to 14,111.61, 19,475.39 and 7,825.53 is: 10,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.61 : 19,475.39 = 7,825.53 : x
  2. Step 2: Convert to fraction form
    14,111.61/19,475.39 = 7,825.53/x
  3. Step 3: Cross multiply
    14,111.61x = 19,475.39 × 7,825.53
  4. Step 4: Simplify right side
    14,111.61x = 152,405,209.58
  5. Step 5: Solve for x
    x = 152,405,209.58/14,111.61
  6. Step 6: Final answer
    x = 10,799.99

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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.