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Finding the Fourth Proportional to 30,427.88, 45,646.86 and 9,656.36

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Solution

The fourth proportional to 30,427.88, 45,646.86 and 9,656.36 is: 14,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427.88 : 45,646.86 = 9,656.36 : x
  2. Step 2: Convert to fraction form
    30,427.88/45,646.86 = 9,656.36/x
  3. Step 3: Cross multiply
    30,427.88x = 45,646.86 × 9,656.36
  4. Step 4: Simplify right side
    30,427.88x = 440,782,513.03
  5. Step 5: Solve for x
    x = 440,782,513.03/30,427.88
  6. Step 6: Final answer
    x = 14,486.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.