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Finding the Fourth Proportional to 30,556.08, 45,804.96 and 9,765.36

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Solution

The fourth proportional to 30,556.08, 45,804.96 and 9,765.36 is: 14,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556.08 : 45,804.96 = 9,765.36 : x
  2. Step 2: Convert to fraction form
    30,556.08/45,804.96 = 9,765.36/x
  3. Step 3: Cross multiply
    30,556.08x = 45,804.96 × 9,765.36
  4. Step 4: Simplify right side
    30,556.08x = 447,301,924.19
  5. Step 5: Solve for x
    x = 447,301,924.19/30,556.08
  6. Step 6: Final answer
    x = 14,638.72

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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.