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Finding the Fourth Proportional to 21,009.48, 31,514.57 and 7,854.67

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Solution

The fourth proportional to 21,009.48, 31,514.57 and 7,854.67 is: 11,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.48 : 31,514.57 = 7,854.67 : x
  2. Step 2: Convert to fraction form
    21,009.48/31,514.57 = 7,854.67/x
  3. Step 3: Cross multiply
    21,009.48x = 31,514.57 × 7,854.67
  4. Step 4: Simplify right side
    21,009.48x = 247,536,577.12
  5. Step 5: Solve for x
    x = 247,536,577.12/21,009.48
  6. Step 6: Final answer
    x = 11,782.14

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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.