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Finding the Fourth Proportional to 30,345.23, 41,877.14 and 16,916.14

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Solution

The fourth proportional to 30,345.23, 41,877.14 and 16,916.14 is: 23,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,345.23 : 41,877.14 = 16,916.14 : x
  2. Step 2: Convert to fraction form
    30,345.23/41,877.14 = 16,916.14/x
  3. Step 3: Cross multiply
    30,345.23x = 41,877.14 × 16,916.14
  4. Step 4: Simplify right side
    30,345.23x = 708,399,530.81
  5. Step 5: Solve for x
    x = 708,399,530.81/30,345.23
  6. Step 6: Final answer
    x = 23,344.67

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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.