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Finding the Fourth Proportional to 14,148.82, 19,525.68 and 7,775.47

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Solution

The fourth proportional to 14,148.82, 19,525.68 and 7,775.47 is: 10,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.82 : 19,525.68 = 7,775.47 : x
  2. Step 2: Convert to fraction form
    14,148.82/19,525.68 = 7,775.47/x
  3. Step 3: Cross multiply
    14,148.82x = 19,525.68 × 7,775.47
  4. Step 4: Simplify right side
    14,148.82x = 151,821,339.07
  5. Step 5: Solve for x
    x = 151,821,339.07/14,148.82
  6. Step 6: Final answer
    x = 10,730.32

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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.