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Finding the Fourth Proportional to 21,343.68, 32,076 and 12,582.72

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Solution

The fourth proportional to 21,343.68, 32,076 and 12,582.72 is: 18,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.68 : 32,076 = 12,582.72 : x
  2. Step 2: Convert to fraction form
    21,343.68/32,076 = 12,582.72/x
  3. Step 3: Cross multiply
    21,343.68x = 32,076 × 12,582.72
  4. Step 4: Simplify right side
    21,343.68x = 403,603,326.72
  5. Step 5: Solve for x
    x = 403,603,326.72/21,343.68
  6. Step 6: Final answer
    x = 18,909.73

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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.