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Finding the Fourth Proportional to 21,182.42, 31,763.76 and 7,854.87

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Solution

The fourth proportional to 21,182.42, 31,763.76 and 7,854.87 is: 11,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.42 : 31,763.76 = 7,854.87 : x
  2. Step 2: Convert to fraction form
    21,182.42/31,763.76 = 7,854.87/x
  3. Step 3: Cross multiply
    21,182.42x = 31,763.76 × 7,854.87
  4. Step 4: Simplify right side
    21,182.42x = 249,500,205.51
  5. Step 5: Solve for x
    x = 249,500,205.51/21,182.42
  6. Step 6: Final answer
    x = 11,778.65

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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.