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Finding the Fourth Proportional to 14,228.88, 19,635.75 and 7,855.47

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Solution

The fourth proportional to 14,228.88, 19,635.75 and 7,855.47 is: 10,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.88 : 19,635.75 = 7,855.47 : x
  2. Step 2: Convert to fraction form
    14,228.88/19,635.75 = 7,855.47/x
  3. Step 3: Cross multiply
    14,228.88x = 19,635.75 × 7,855.47
  4. Step 4: Simplify right side
    14,228.88x = 154,248,045.05
  5. Step 5: Solve for x
    x = 154,248,045.05/14,228.88
  6. Step 6: Final answer
    x = 10,840.49

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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.