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Finding the Fourth Proportional to 15,683.68, 21,647.64 and 9,711.96

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Solution

The fourth proportional to 15,683.68, 21,647.64 and 9,711.96 is: 13,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.68 : 21,647.64 = 9,711.96 : x
  2. Step 2: Convert to fraction form
    15,683.68/21,647.64 = 9,711.96/x
  3. Step 3: Cross multiply
    15,683.68x = 21,647.64 × 9,711.96
  4. Step 4: Simplify right side
    15,683.68x = 210,241,013.77
  5. Step 5: Solve for x
    x = 210,241,013.77/15,683.68
  6. Step 6: Final answer
    x = 13,405.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.