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Finding the Fourth Proportional to 21,775.81, 32,663.64 and 14,378.51

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Solution

The fourth proportional to 21,775.81, 32,663.64 and 14,378.51 is: 21,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.81 : 32,663.64 = 14,378.51 : x
  2. Step 2: Convert to fraction form
    21,775.81/32,663.64 = 14,378.51/x
  3. Step 3: Cross multiply
    21,775.81x = 32,663.64 × 14,378.51
  4. Step 4: Simplify right side
    21,775.81x = 469,654,589.74
  5. Step 5: Solve for x
    x = 469,654,589.74/21,775.81
  6. Step 6: Final answer
    x = 21,567.72

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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.