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Finding the Fourth Proportional to 21,347.84, 32,028.60 and 9,657.92

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Solution

The fourth proportional to 21,347.84, 32,028.60 and 9,657.92 is: 14,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.84 : 32,028.60 = 9,657.92 : x
  2. Step 2: Convert to fraction form
    21,347.84/32,028.60 = 9,657.92/x
  3. Step 3: Cross multiply
    21,347.84x = 32,028.60 × 9,657.92
  4. Step 4: Simplify right side
    21,347.84x = 309,329,656.51
  5. Step 5: Solve for x
    x = 309,329,656.51/21,347.84
  6. Step 6: Final answer
    x = 14,489.97

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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.